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Exam board: GCSE · AQA, change

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Gradient from two points

Change in y over change in x from two points on your line, with the unit and the intercept.

First point
Second point
Units (optional)

Worked example

Two points read off the straight part of a temperature against energy line: (0, 20.0) and (40 000 J, 64.0 °C).

  • Change in y = 64 − 20 = 44 °C
  • Change in x = 40000 − 0 = 40000 J
  • Gradient = 44 ÷ 40000 = 0.00110 °C/J

The y-intercept is 20.0 °C, the starting temperature. In the specific heat capacity practical, c = 1 ÷ (mass × gradient).

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