How to write equations of a line in slope-intercept form... Show more
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Jan 26, 2026
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Learn How to Write Equations in Slope-Intercept Form
LeeLee Naquin
@leeleenaquin_ptsq
1 / 8
Page 2: Writing Linear Equations from Tables
This page focuses on the process of deriving linear equations from tabulated data.
Vocabulary:
- Slope formula: m = /
- Rate of change: The change in y divided by the change in x
Example: Using the table with points (0,5) and (2,7):
- Calculate slope: m = (7-5)/(2-0) = 1
- Identify y-intercept: b = 5
- Write equation: y = x + 5
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:
- Calculate slope using consecutive points
- Identify y-intercept from x = 0 value
- Combine in slope-intercept form
Example: For a table showing points (0,4), (1,7), (2,10):
- Slope = (7-4)/(1-0) = 3
- Y-intercept = 4
- Equation: y = 3x + 4
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 (2,8) and (4,13):
- Find slope: m = (13-8)/(4-2) = 2.5
- Use point-slope form: y - 8 = 2.5
- Solve for y-intercept
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: f(n) = -3n + 24
Highlight: In real-world problems:
- Slope represents rate of change
- Y-intercept represents initial value
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 (m) = 1.5 (rate of snowfall)
- Y-intercept (b) = 3 (initial snow)
- Equation: y = 1.5x + 3
Context and Variables
This section focuses on identifying variables and components in word problems.
Vocabulary: Independent variable (input) and dependent variable (output) help structure equation writing.
Example: In the dancing club scenario, monthly fee represents slope and startup fee represents y-intercept.
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.
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:
- Identify the slope using rise over run
- Locate the y-intercept where the line crosses the y-axis
- 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
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content: Slope-intercept Form
Most popular content in Algebra 1
Most popular content
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 Knowunity AI. 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 Knowunity AI. 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
Learn How to Write Equations in Slope-Intercept Form
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
Page 2: Writing Linear Equations from Tables
This page focuses on the process of deriving linear equations from tabulated data.
Vocabulary:
- Slope formula: m = /
- Rate of change: The change in y divided by the change in x
Example: Using the table with points (0,5) and (2,7):
- Calculate slope: m = (7-5)/(2-0) = 1
- Identify y-intercept: b = 5
- Write equation: y = x + 5
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: 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:
- Calculate slope using consecutive points
- Identify y-intercept from x = 0 value
- Combine in slope-intercept form
Example: For a table showing points (0,4), (1,7), (2,10):
- Slope = (7-4)/(1-0) = 3
- Y-intercept = 4
- Equation: y = 3x + 4
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: 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 (2,8) and (4,13):
- Find slope: m = (13-8)/(4-2) = 2.5
- Use point-slope form: y - 8 = 2.5
- 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: f(n) = -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 (m) = 1.5 (rate of snowfall)
- Y-intercept (b) = 3 (initial snow)
- Equation: y = 1.5x + 3
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
Context and Variables
This section focuses on identifying variables and components in word problems.
Vocabulary: Independent variable (input) and dependent variable (output) 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:
- Identify the slope using rise over run
- Locate the y-intercept where the line crosses the y-axis
- 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
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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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 Knowunity AI. 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 Knowunity AI. 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