AI generatedAlgebraKS3 / GCSE

Finding gradient from a graph

Finding gradient from a graph.

  • For a non-vertical straight line, use .
  • The gradient is change in divided by change in . The intercept is the value when .
  • Substitute a known point to find missing constant. Show the same operation on both sides.

Example 1

Find the gradient of .

Coordinate graph−4−3−2−11234−12−10−8−6−4−2240AB
Use the same direction of subtraction on top and bottom.Count the vertical and horizontal changes, with their signs.

Example 2

Find the gradient of .

Coordinate graph−4−3−2−11234−10−8−6−4−220AB
Use the same direction of subtraction on top and bottom.Count the vertical and horizontal changes, with their signs.

Your turn

Question 1

Find the gradient of .

Coordinate graph−4−3−2−11234−8−6−4−220AB
Check answer
Use the same direction of subtraction on top and bottom.Count the vertical and horizontal changes, with their signs.
Question 2

Find the gradient of .

Coordinate graph−4−3−2−11234−6−4−220AB
Check answer
Use the same direction of subtraction on top and bottom.Count the vertical and horizontal changes, with their signs.
Question 3

Find the gradient of .

Coordinate graph−4−3−2−11234−8−6−4−220AB
Check answer
Use the same direction of subtraction on top and bottom.Count the vertical and horizontal changes, with their signs.
Question 4

Find the gradient of .

Coordinate graph−4−3−2−11234−10−8−6−4−220AB
Check answer
Use the same direction of subtraction on top and bottom.Count the vertical and horizontal changes, with their signs.
Question 5

Find the gradient of .

Coordinate graph−4−3−2−11234−12−10−8−6−4−2240AB
Check answer
Use the same direction of subtraction on top and bottom.Count the vertical and horizontal changes, with their signs.
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