 # Calculate the Gradients of a Line

In this worksheet, students work out the gradient of a line on coordinate axes. Key stage:  KS 3

Curriculum topic:   Algebra

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

Difficulty level:   ### QUESTION 1 of 10

 Gradient of line  = y-step x-step

Example

Find the gradient of the red line. 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) • 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) 2
EDDIE SAYS Gradient of line  = y-step = 6 =  2 x-step 3
• 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) 1
EDDIE SAYS Gradient of line = y-step = 4 = 1 x-step 4
• 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) 2/3
EDDIE SAYS Gradient of line = y-step = 4 =2/3 x-step 6
• 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) 5/2
EDDIE SAYS Gradient of line = y-step = 5 =5/2 x-step 2
• 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) 1/3
EDDIE SAYS Gradient of line = y-step = 2 = 1/3 x-step 6
• 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) 2/3
EDDIE SAYS Gradient of line = y-step = 2 = 2/3 x-step 3
• 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) 1/3
EDDIE SAYS Gradient of line = y-step = 3 = 1/3 x-step 9
• 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) 1/2
EDDIE SAYS Gradient of line = y-step = 2 = 1/2 x-step 4
• 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) 1/4
EDDIE SAYS Gradient of line = y-step = 1 = 1/4 x-step 4
• 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) 5
EDDIE SAYS Gradient of line = y-step = 5 = 5 x-step 1
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