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Learn How to Write Equations in Slope-Intercept Form

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LeeLee Naquin

5/9/2023

Algebra 1

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Algebra 1

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Slope Intercept & Standard Form

/

Standard Form

/

Graphing a Linear Equation: 5X+2Y=20

Learn How to Write Equations in Slope-Intercept Form

How to write equations of a line in slope-intercept form and determining slope and y-intercept from a table are essential skills for understanding linear equations. This comprehensive guide covers methods for writing linear equations from graphs and tables, including real-world applications.

  • Learn to identify slope and y-intercept from graphs and tables
  • Master the slope-intercept form equation y = mx + b
  • Apply these concepts to real-world scenarios
  • Understand how to find y-intercept when it's not directly given
  • Practice with various examples including positive and negative slopes
...

5/9/2023

54

5 me ba b=3 Equation: 3 m WRITE LQUATIONS FROM GRAPHS Write the equations of the lines in slope-Intercept form 2. 1 b. D Equation: 4x no the

View

Page 2: Writing Linear Equations from Tables

This page focuses on the process of deriving linear equations from tabulated data.

Vocabulary:

  • Slope formula: m = y2−y1y₂-y₁/x2−x1x₂-x₁
  • Rate of change: The change in y divided by the change in x

Example: Using the table with points 0,50,5 and 2,72,7:

  1. Calculate slope: m = 7−57-5/2−02-0 = 1
  2. Identify y-intercept: b = 5
  3. Write equation: y = x + 5
5 me ba b=3 Equation: 3 m WRITE LQUATIONS FROM GRAPHS Write the equations of the lines in slope-Intercept form 2. 1 b. D Equation: 4x no the

View

Page 3: Practice Problems with Tables

This page provides multiple examples of writing equations from tables with clear step-by-step solutions.

Highlight: Key steps for finding equations from tables:

  1. Calculate slope using consecutive points
  2. Identify y-intercept from x = 0 value
  3. Combine in slope-intercept form

Example: For a table showing points 0,40,4, 1,71,7, 2,102,10:

  • Slope = 7−47-4/1−01-0 = 3
  • Y-intercept = 4
  • Equation: y = 3x + 4
5 me ba b=3 Equation: 3 m WRITE LQUATIONS FROM GRAPHS Write the equations of the lines in slope-Intercept form 2. 1 b. D Equation: 4x no the

View

Page 4: Advanced Table Analysis

This page covers scenarios where the y-intercept isn't directly given in the table.

Definition: When the y-intercept isn't in the table, use point-slope form first, then convert to slope-intercept form.

Example: For points 2,82,8 and 4,134,13:

  1. Find slope: m = 13−813-8/4−24-2 = 2.5
  2. Use point-slope form: y - 8 = 2.5x−2x - 2
  3. Solve for y-intercept
5 me ba b=3 Equation: 3 m WRITE LQUATIONS FROM GRAPHS Write the equations of the lines in slope-Intercept form 2. 1 b. D Equation: 4x no the

View

Page 5: Real-World Applications

This page demonstrates how to write equations for real-world scenarios using tables.

Example: The automatic pet feeder problem:

  • Initial amount: 24 cups
  • Rate of decrease: -3 cups per meal
  • Equation: fnn = -3n + 24

Highlight: In real-world problems:

  • Slope represents rate of change
  • Y-intercept represents initial value
5 me ba b=3 Equation: 3 m WRITE LQUATIONS FROM GRAPHS Write the equations of the lines in slope-Intercept form 2. 1 b. D Equation: 4x no the

View

Page 6: Real-World Context and Terminology

This page focuses on identifying slope and y-intercept in word problems.

Vocabulary:

  • Rate of change keywords: "per," "every," "each"
  • Y-intercept keywords: "initial value," "starting amount," "membership fee"

Example: "There is already 3 inches of snow on the ground, and it is snowing at a rate of 1.5 inches per hour."

  • Slope mm = 1.5 rateofsnowfallrate of snowfall
  • Y-intercept bb = 3 initialsnowinitial snow
  • Equation: y = 1.5x + 3
5 me ba b=3 Equation: 3 m WRITE LQUATIONS FROM GRAPHS Write the equations of the lines in slope-Intercept form 2. 1 b. D Equation: 4x no the

View

Context and Variables

This section focuses on identifying variables and components in word problems.

Vocabulary: Independent variable inputinput and dependent variable outputoutput help structure equation writing.

Example: In the dancing club scenario, monthly fee represents slope and startup fee represents y-intercept.

5 me ba b=3 Equation: 3 m WRITE LQUATIONS FROM GRAPHS Write the equations of the lines in slope-Intercept form 2. 1 b. D Equation: 4x no the

View

Practical Applications

The final content pages show how to apply linear equations to everyday situations.

Example: Rose's hourly wage problem demonstrates how salary depends on hours worked.

Highlight: Real-world scenarios help connect abstract concepts to practical applications.

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Subjects

Algebra 1

Slope Intercept & Standard Form

Standard Form

Graphing a Linear Equation: 5X+2Y=20

 

Algebra 1

•

54

•

May 9, 2023

•

8 pages

Learn How to Write Equations in Slope-Intercept Form

user profile picture

LeeLee Naquin

@leeleenaquin_ptsq

How to write equations of a line in slope-intercept form and determining slope and y-intercept from a table are essential skills for understanding linear equations. This comprehensive guide covers methods for writing linear equations from graphs and tables, including... Show more

5 me ba b=3 Equation: 3 m WRITE LQUATIONS FROM GRAPHS Write the equations of the lines in slope-Intercept form 2. 1 b. D Equation: 4x no the

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Page 2: Writing Linear Equations from Tables

This page focuses on the process of deriving linear equations from tabulated data.

Vocabulary:

  • Slope formula: m = y2−y1y₂-y₁/x2−x1x₂-x₁
  • Rate of change: The change in y divided by the change in x

Example: Using the table with points 0,50,5 and 2,72,7:

  1. Calculate slope: m = 7−57-5/2−02-0 = 1
  2. Identify y-intercept: b = 5
  3. Write equation: y = x + 5

Sign up to see the contentIt's free!

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Join milions of students

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Page 3: Practice Problems with Tables

This page provides multiple examples of writing equations from tables with clear step-by-step solutions.

Highlight: Key steps for finding equations from tables:

  1. Calculate slope using consecutive points
  2. Identify y-intercept from x = 0 value
  3. Combine in slope-intercept form

Example: For a table showing points 0,40,4, 1,71,7, 2,102,10:

  • Slope = 7−47-4/1−01-0 = 3
  • Y-intercept = 4
  • Equation: y = 3x + 4

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

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By signing up you accept Terms of Service and Privacy Policy

Page 4: Advanced Table Analysis

This page covers scenarios where the y-intercept isn't directly given in the table.

Definition: When the y-intercept isn't in the table, use point-slope form first, then convert to slope-intercept form.

Example: For points 2,82,8 and 4,134,13:

  1. Find slope: m = 13−813-8/4−24-2 = 2.5
  2. Use point-slope form: y - 8 = 2.5x−2x - 2
  3. Solve for y-intercept

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: Real-World Applications

This page demonstrates how to write equations for real-world scenarios using tables.

Example: The automatic pet feeder problem:

  • Initial amount: 24 cups
  • Rate of decrease: -3 cups per meal
  • Equation: fnn = -3n + 24

Highlight: In real-world problems:

  • Slope represents rate of change
  • Y-intercept represents initial value

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 6: Real-World Context and Terminology

This page focuses on identifying slope and y-intercept in word problems.

Vocabulary:

  • Rate of change keywords: "per," "every," "each"
  • Y-intercept keywords: "initial value," "starting amount," "membership fee"

Example: "There is already 3 inches of snow on the ground, and it is snowing at a rate of 1.5 inches per hour."

  • Slope mm = 1.5 rateofsnowfallrate of snowfall
  • Y-intercept bb = 3 initialsnowinitial snow
  • Equation: y = 1.5x + 3

Sign up to see the contentIt's free!

Access to all documents

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Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Context and Variables

This section focuses on identifying variables and components in word problems.

Vocabulary: Independent variable inputinput and dependent variable outputoutput help structure equation writing.

Example: In the dancing club scenario, monthly fee represents slope and startup fee represents y-intercept.

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

Practical Applications

The final content pages show how to apply linear equations to everyday situations.

Example: Rose's hourly wage problem demonstrates how salary depends on hours worked.

Highlight: Real-world scenarios help connect abstract concepts to practical applications.

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: Writing Equations from Graphs

This page introduces the fundamental concepts of writing linear equations from graphs in slope-intercept form.

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

Highlight: To write an equation from a graph:

  1. Identify the slope using rise over run
  2. Locate the y-intercept where the line crosses the y-axis
  3. Substitute these values into y = mx + b

Example: For a line with slope 3 and y-intercept -6, the equation would be y = 3x - 6

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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