Coordinate geometry and vectorsAdditional / Further Maths

Gradient between two points

Divide the change in by the change in .

  • Use . Keep the order of the points the same in both differences.
  • A horizontal line has gradient zero. A vertical line has undefined gradient.

Example 1

Change in over change in

Find the gradient between the two points. Through and .

Example 2

Find the gradient between the two points. Through and .

Your turn

Question 1

Find the gradient of the line through and .

Check answer
Question 2

Find the gradient of the line through and .

Check answer
Question 3

Find the gradient of the line through and .

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Question 4

Find the gradient of the line through and .

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Question 5

Find the gradient of the line through and .

Check answer
Undefined: this is a vertical line.
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