Subjects

Subjects

More

Search

AI Knowunity

Subjects

/

Maths

/

Algebra

/

Straight line graphs

/

Y = mx + c

Easy Guide: Plotting Straight Line Graphs Step by Step

View

Easy Guide: Plotting Straight Line Graphs Step by Step
user profile picture

Maisie W

@maisiew

·

75 Followers

Follow

Understanding Straight Line Graphs: A Comprehensive Guide explores the fundamental concepts of plotting straight line graphs step by step and understanding gradient and y-intercept in graphs.

• The guide thoroughly explains how straight line equations follow the format y = mx + c, where m represents the gradient and c is the y-intercept
• Detailed instructions are provided for plotting points by substituting x-values to find corresponding y-values
• The relationship between gradient values and line steepness is explored, including positive and negative gradients
• Methods for how to find the equation of a line from a graph are demonstrated through practical examples

19/08/2022

134

[ Remember: Straight Line Graphs The ocaxis is the horizontal axis The yaxis is the vertical axis The equation of a straight line takes the

View

Page 2: Finding Equations from Graphs

This page focuses on practical applications of straight line concepts, particularly in determining the equation of a line from its graph. The method of calculating gradients using two points on a line is explained in detail.

Definition: The y-intercept is the point where the line crosses the vertical y-axis.

Example: To find the gradient between points (1,1) and (3,5): m = (change in y)/(change in x) = (5-1)/(3-1) = 2

Highlight: When finding the equation of a line, first calculate the gradient using two points, then identify the y-intercept by looking at where the line crosses the y-axis.

Vocabulary:

  • Change in y: The vertical distance between two points
  • Change in x: The horizontal distance between two points
  • Points: Specific locations on a line represented by coordinates
[ Remember: Straight Line Graphs The ocaxis is the horizontal axis The yaxis is the vertical axis The equation of a straight line takes the

View

Page 1: Understanding Straight Line Equations and Gradients

This page introduces the fundamental concepts of straight line graphs and their equations. The coordinate system is explained with the x-axis being horizontal and the y-axis being vertical. The standard form of a straight line equation y = mx + c is thoroughly explored through practical examples.

Definition: A straight line equation follows the format y = mx + c, where m is the gradient and c is the y-intercept.

Example: For the equation y = 3x + 2:

  • When x = 0, y = 2
  • When x = 1, y = 5
  • When x = 2, y = 8

Highlight: The gradient (m) determines the steepness of the line. A larger gradient creates a steeper line, while a negative gradient means the line slopes downward.

Vocabulary:

  • Gradient: The measure of steepness in a line
  • Y-intercept: The point where the line crosses the y-axis
  • Coordinates: Points on the graph represented as (x,y)

Similar content

Know AS Level Edexcel Mathematics - Chapter 5 Exam Practice (from Maths Genie - “The Equation of a Line”) thumbnail

1

168

12/12

AS Level Edexcel Mathematics - Chapter 5 Exam Practice (from Maths Genie - “The Equation of a Line”)

This is for Edexcel AS Maths Chapter 5 (Straight Line Graphs). This was exam practice that I completed from a A-level resource from Maths Genie. You can find its questions on the website > A-level Revision > AS Pure Mathematics > Equation of a Line.

Know Coordinate Geometry GCSE thumbnail

17

573

10/11

Coordinate Geometry GCSE

Includes Solved GCSE Exam Questions on Coordinate Geometry - valid for any exam board

Know Fractions , indices , estimation + rounding , HCF + LCM thumbnail

7

358

11

Fractions , indices , estimation + rounding , HCF + LCM

For Edexcel Foundation and Higher. These topics are likely to be some of the first and easiest on the paper but can often be where people make silly mistakes

Know Equation of a straight line and graphs GCSE thumbnail

19

674

10/11

Equation of a straight line and graphs GCSE

Includes y = mx + c, gradient , finding the equation of a straight line, finding the equation of the line from the graph and form points and exam style questions

Know Equation of a Straight Line thumbnail

7

330

S3/S4

Equation of a Straight Line

made for N5 maths. Please check my page for more N5 maths topics.

Know Turning point and roots practice thumbnail

2

104

11

Turning point and roots practice

Learn how to find the turning point and roots of the equation using the graph of y = -2r-3 -6.

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

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Subjects

/

Maths

/

Algebra

/

Straight line graphs

/

Y = mx + c

Easy Guide: Plotting Straight Line Graphs Step by Step

user profile picture

Maisie W

@maisiew

·

75 Followers

Follow

Understanding Straight Line Graphs: A Comprehensive Guide explores the fundamental concepts of plotting straight line graphs step by step and understanding gradient and y-intercept in graphs.

• The guide thoroughly explains how straight line equations follow the format y = mx + c, where m represents the gradient and c is the y-intercept
• Detailed instructions are provided for plotting points by substituting x-values to find corresponding y-values
• The relationship between gradient values and line steepness is explored, including positive and negative gradients
• Methods for how to find the equation of a line from a graph are demonstrated through practical examples

19/08/2022

134

 

7/8

 

Maths

4

[ Remember: Straight Line Graphs The ocaxis is the horizontal axis The yaxis is the vertical axis The equation of a straight line takes the

Page 2: Finding Equations from Graphs

This page focuses on practical applications of straight line concepts, particularly in determining the equation of a line from its graph. The method of calculating gradients using two points on a line is explained in detail.

Definition: The y-intercept is the point where the line crosses the vertical y-axis.

Example: To find the gradient between points (1,1) and (3,5): m = (change in y)/(change in x) = (5-1)/(3-1) = 2

Highlight: When finding the equation of a line, first calculate the gradient using two points, then identify the y-intercept by looking at where the line crosses the y-axis.

Vocabulary:

  • Change in y: The vertical distance between two points
  • Change in x: The horizontal distance between two points
  • Points: Specific locations on a line represented by coordinates
[ Remember: Straight Line Graphs The ocaxis is the horizontal axis The yaxis is the vertical axis The equation of a straight line takes the

Page 1: Understanding Straight Line Equations and Gradients

This page introduces the fundamental concepts of straight line graphs and their equations. The coordinate system is explained with the x-axis being horizontal and the y-axis being vertical. The standard form of a straight line equation y = mx + c is thoroughly explored through practical examples.

Definition: A straight line equation follows the format y = mx + c, where m is the gradient and c is the y-intercept.

Example: For the equation y = 3x + 2:

  • When x = 0, y = 2
  • When x = 1, y = 5
  • When x = 2, y = 8

Highlight: The gradient (m) determines the steepness of the line. A larger gradient creates a steeper line, while a negative gradient means the line slopes downward.

Vocabulary:

  • Gradient: The measure of steepness in a line
  • Y-intercept: The point where the line crosses the y-axis
  • Coordinates: Points on the graph represented as (x,y)

Similar content

Maths - AS Level Edexcel Mathematics - Chapter 5 Exam Practice (from Maths Genie - “The Equation of a Line”)

This is for Edexcel AS Maths Chapter 5 (Straight Line Graphs). This was exam practice that I completed from a A-level resource from Maths Genie. You can find its questions on the website > A-level Revision > AS Pure Mathematics > Equation of a Line.

1

168

0

Know AS Level Edexcel Mathematics - Chapter 5 Exam Practice (from Maths Genie - “The Equation of a Line”) thumbnail

Maths - Coordinate Geometry GCSE

Includes Solved GCSE Exam Questions on Coordinate Geometry - valid for any exam board

17

573

0

Know Coordinate Geometry GCSE thumbnail

Maths - Fractions , indices , estimation + rounding , HCF + LCM

For Edexcel Foundation and Higher. These topics are likely to be some of the first and easiest on the paper but can often be where people make silly mistakes

7

358

0

Know Fractions , indices , estimation + rounding , HCF + LCM thumbnail

Maths - Equation of a straight line and graphs GCSE

Includes y = mx + c, gradient , finding the equation of a straight line, finding the equation of the line from the graph and form points and exam style questions

19

674

0

Know Equation of a straight line and graphs GCSE thumbnail

Maths - Equation of a Straight Line

made for N5 maths. Please check my page for more N5 maths topics.

7

330

1

Know Equation of a Straight Line thumbnail

Maths - Turning point and roots practice

Learn how to find the turning point and roots of the equation using the graph of y = -2r-3 -6.

2

104

1

Know Turning point and roots practice thumbnail

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

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.