AI generatedAlgebraGCSE Higher

Finding an average gradient on a curve

Use a chord between two points.

  • An average gradient uses a chord between two points.
  • A gradient at one point uses a tangent at that point.
  • Read two points on the chosen straight line, then calculate change in ÷ change in .

Example 1

Find the average gradient from to .

Coordinate graph0.511.522.533.542468100
An average gradient is the gradient of the chord joining the two given points.Use the vertical change divided by the horizontal change.

Example 2

Find the average gradient from to .

Coordinate graph0.511.522.533.5424681012140
An average gradient is the gradient of the chord joining the two given points.Use the vertical change divided by the horizontal change.

Your turn

Question 1

Find the average gradient from to .

Coordinate graph0.511.522.533.542.557.51012.51517.50
Check answer
An average gradient is the gradient of the chord joining the two given points.Use the vertical change divided by the horizontal change.
Question 2

Find the average gradient from to .

Coordinate graph1234524681012140
Check answer
An average gradient is the gradient of the chord joining the two given points.Use the vertical change divided by the horizontal change.
Question 3

Find the average gradient from to .

Coordinate graph1234551015200
Check answer
An average gradient is the gradient of the chord joining the two given points.Use the vertical change divided by the horizontal change.
Question 4

Find the average gradient from to .

Coordinate graph12345510152025300
Check answer
An average gradient is the gradient of the chord joining the two given points.Use the vertical change divided by the horizontal change.
Question 5

Find the average gradient from to .

Coordinate graph12345651015200
Check answer
An average gradient is the gradient of the chord joining the two given points.Use the vertical change divided by the horizontal change.
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