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Jun 27, 2023

7 pages

How to Find Y-Intercepts and Understand Slope Forms

A comprehensive guide to understanding y-intercepts and slope-intercept form of... Show more

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Page 2: Understanding Y-Intercepts

This page focuses on the practical identification of y-intercepts from graphs.

Example: Multiple graphs are shown demonstrating y-intercepts in different contexts:

  • A water level graph with y-intercept 0,4.50, 4.5
  • An elevation graph with y-intercept 0,100, -10
  • A distance-time graph showing initial positions

Highlight: The y-intercept represents the value of the dependent variable when the independent variable equals zero.

The page emphasizes how y-intercepts can be interpreted in real-world contexts, such as initial water levels or starting elevations.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Page 3: Using Slope Formula to Find Y-Intercepts

This page demonstrates using slope formula to find y-intercept through worked examples.

Example: A detailed worked example shows how to:

  1. Calculate slope using two points
  2. Use the slope formula with a known point
  3. Solve for the y-intercept value

Definition: The slope formula is written as m = y2y1y₂ - y₁/x2x1x₂ - x₁, where x1,y1x₁,y₁ and x2,y2x₂,y₂ are points on the line.

The page includes verification steps to ensure students understand that different points will yield the same y-intercept.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Page 4: Practical Applications

This page applies the concepts to real-world scenarios and data tables.

Example: Problems include:

  • Calculating costs for amusement park games
  • Tracking savings over time
  • Working with larger numerical values

Highlight: The importance of interpreting y-intercepts in context is emphasized through practical scenarios.

The page demonstrates how to handle different types of numerical relationships while maintaining accuracy in calculations.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Page 5: Slope-Intercept Form Applications

This page begins to connect slope and y-intercept concepts to writing complete linear equations.

Definition: The slope-intercept form y = mx + b combines both the slope mm and y-intercept bb to create a complete linear equation.

Highlight: The page emphasizes how understanding both slope and y-intercept allows for complete representation of linear relationships.

The content builds toward writing equations using real-world data and practical applications.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Writing Equations in Slope-Intercept Form

This section focuses on writing linear equations using slope and y-intercept.

Definition: Slope-intercept form y=mx+by = mx + b uses the slope mm and y-intercept bb to define a linear equation.

Highlight: Both y = mx + b and y = b + mx are acceptable forms of slope-intercept form.

Example: Converting linear relationships from tables and points to slope-intercept form.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Practice with Slope-Intercept Form

This page provides additional practice with writing equations in slope-intercept form.

Example: Converting between different forms of linear equations and finding slopes and y-intercepts.

Highlight: Multiple methods can be used to find the components needed for slope-intercept form.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Page 1: Introduction to Slope-Intercept Form

This introductory page sets up the fundamental concepts of slope-intercept form and y-intercepts in linear equations.

Definition: The y-intercept is the point where a line crosses the y-axis, representing the initial value in a linear relationship.

Vocabulary: Slope-intercept form is written as y = mx + b, where m represents the slope and b represents the y-intercept.

The page outlines key learning objectives including:

  • Writing y-intercepts as ordered pairs
  • Determining y-intercepts from various representations
  • Using slope formulas effectively
  • Analyzing linear relationships


Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

 

Arithmetic

89

Jun 27, 2023

7 pages

How to Find Y-Intercepts and Understand Slope Forms

A comprehensive guide to understanding y-intercepts and slope-intercept form of linear equations, focusing on how to determine and analyze these key components through various representations.

Key points:

  • Learn to identify and write y-intercepts from graphs or tablesusing coordinate pairs... Show more

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 2: Understanding Y-Intercepts

This page focuses on the practical identification of y-intercepts from graphs.

Example: Multiple graphs are shown demonstrating y-intercepts in different contexts:

  • A water level graph with y-intercept 0,4.50, 4.5
  • An elevation graph with y-intercept 0,100, -10
  • A distance-time graph showing initial positions

Highlight: The y-intercept represents the value of the dependent variable when the independent variable equals zero.

The page emphasizes how y-intercepts can be interpreted in real-world contexts, such as initial water levels or starting elevations.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: Using Slope Formula to Find Y-Intercepts

This page demonstrates using slope formula to find y-intercept through worked examples.

Example: A detailed worked example shows how to:

  1. Calculate slope using two points
  2. Use the slope formula with a known point
  3. Solve for the y-intercept value

Definition: The slope formula is written as m = y2y1y₂ - y₁/x2x1x₂ - x₁, where x1,y1x₁,y₁ and x2,y2x₂,y₂ are points on the line.

The page includes verification steps to ensure students understand that different points will yield the same y-intercept.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 4: Practical Applications

This page applies the concepts to real-world scenarios and data tables.

Example: Problems include:

  • Calculating costs for amusement park games
  • Tracking savings over time
  • Working with larger numerical values

Highlight: The importance of interpreting y-intercepts in context is emphasized through practical scenarios.

The page demonstrates how to handle different types of numerical relationships while maintaining accuracy in calculations.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 5: Slope-Intercept Form Applications

This page begins to connect slope and y-intercept concepts to writing complete linear equations.

Definition: The slope-intercept form y = mx + b combines both the slope mm and y-intercept bb to create a complete linear equation.

Highlight: The page emphasizes how understanding both slope and y-intercept allows for complete representation of linear relationships.

The content builds toward writing equations using real-world data and practical applications.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Writing Equations in Slope-Intercept Form

This section focuses on writing linear equations using slope and y-intercept.

Definition: Slope-intercept form y=mx+by = mx + b uses the slope mm and y-intercept bb to define a linear equation.

Highlight: Both y = mx + b and y = b + mx are acceptable forms of slope-intercept form.

Example: Converting linear relationships from tables and points to slope-intercept form.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Practice with Slope-Intercept Form

This page provides additional practice with writing equations in slope-intercept form.

Example: Converting between different forms of linear equations and finding slopes and y-intercepts.

Highlight: Multiple methods can be used to find the components needed for slope-intercept form.

Derby Day
Slope-Intercept Form of a Line
y=mx+b
WARM UP
Solve each equation for y.
1. 4 =
1
2.2²
=
4.
y-5
3
y - 17
3. =
25
015
y + 3
7
=
y +

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Introduction to Slope-Intercept Form

This introductory page sets up the fundamental concepts of slope-intercept form and y-intercepts in linear equations.

Definition: The y-intercept is the point where a line crosses the y-axis, representing the initial value in a linear relationship.

Vocabulary: Slope-intercept form is written as y = mx + b, where m represents the slope and b represents the y-intercept.

The page outlines key learning objectives including:

  • Writing y-intercepts as ordered pairs
  • Determining y-intercepts from various representations
  • Using slope formulas effectively
  • Analyzing linear relationships

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user