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Find Equations for Straight Line Graphs

In this worksheet, students will find the correct equation for a straight line graph.

'Find Equations for Straight Line Graphs' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Translate Situations/Procedures into Expressions, Formulae and Graphs

Popular topics:   Algebra worksheets

Difficulty level:  

Worksheet Overview

The gradient and intercept of any line can be stated by looking carefully at its equation.


For the line with equation y = mx + c, the gradient is m and the intercept on the y-axis is c.


m is the coefficient of x when in the form y = 

c is the number on its own



Draw the line which is represented by y = 2x + 1



Comparing y = 2x + 1 to y = mx + c, we see that m = 2 and c = 1

Therefore, the gradient of the line (m) is 2 and the intercept (c) is 1.


This means that the line crosses the y-axis at (0, 1) 


The gradient of a line means the vertical ÷ horizontal. So, with a gradient of 2, we must have a line that goes 2 up and 1 to the right of the y intercept (0,1)


This gives us a point of (1,3). If we draw a straight line that passes through (0,1) and (1,3) we should have drawn the line for the equation y = 2x + 1


The line is shown below:


graph of straight line y = 2x + 1


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