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Easy Guide: Plotting Straight Line Graphs Step by Step

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M

Maisie W

8/19/2022

Maths

Straight Line Grpahs and Equations

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Maths

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Algebra

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Straight line graphs

Easy Guide: Plotting Straight Line Graphs Step by Step

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

...

8/19/2022

137

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

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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 1,11,1 and 3,53,5: m = changeinychange in y/changeinxchange in x = 5−15-1/3−13-1 = 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

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Subjects

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Algebra

Straight line graphs

 

Maths

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137

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Aug 19, 2022

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2 pages

Easy Guide: Plotting Straight Line Graphs Step by Step

M

Maisie W

@maisiew

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... Show more

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

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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 1,11,1 and 3,53,5: m = changeinychange in y/changeinxchange in x = 5−15-1/3−13-1 = 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

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: 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 mm 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,yx,y

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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.

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Brad T

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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

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Greenlight Bonnie

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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!

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