The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

  1. Maths
  2. Year 9
  3. Coordinate Geometry
left-icon BACK TO WORKSHEETS

Calculate the Gradients of a Line

In this worksheet, students work out the gradient of a line on coordinate axes.

'Calculate the Gradients of a Line' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Linear Equations (Two Variables) and Gradients

Difficulty level:  

Try it

Worksheet Overview

QUESTION 1 of 10

 

Gradient of line  = y-step
x-step

 

Example

Find the gradient of the red line.

 

Answer

First we must find points with whole number coordinates on the red line in order to build a "step".

 

 

The vertical part of the step (y-step) = 4

The horizontal part of the step (x-step) = 2

 

Gradient of line  = y-step = 4 =  2
x-step 2

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

  • ANSWERS
  • Question 1

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
2
EDDIE SAYS

 

Gradient of line  = y-step = 6 =  2
x-step 3
  • ANSWERS
  • Question 2

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1
EDDIE SAYS

Gradient of line = y-step = 4 = 1
x-step 4
  • ANSWERS
  • Question 3

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
2/3
EDDIE SAYS

Gradient of line = y-step = 4 =2/3
x-step 6
  • ANSWERS
  • Question 4

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
5/2
EDDIE SAYS

Gradient of line = y-step = 5 =5/2
x-step 2
  • ANSWERS
  • Question 5

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1/3
EDDIE SAYS

Gradient of line = y-step = 2 = 1/3
x-step 6
  • ANSWERS
  • Question 6

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
2/3
EDDIE SAYS

Gradient of line = y-step = 2 = 2/3
x-step 3
  • ANSWERS
  • Question 7

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1/3
EDDIE SAYS

Gradient of line = y-step = 3 = 1/3
x-step 9
  • ANSWERS
  • Question 8

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1/2
EDDIE SAYS

 

Gradient of line = y-step = 2 = 1/2
x-step 4
  • ANSWERS
  • Question 9

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1/4
EDDIE SAYS

Gradient of line = y-step = 1 = 1/4
x-step 4
  • ANSWERS
  • Question 10

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
5
EDDIE SAYS

Gradient of line = y-step = 5 = 5
x-step 1
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Similar activities you may like

Start your £1 trial today.
Subscribe from £10/month.