Lesson 3 of 4 · Grade 9 Mathematics

Coordinates, gradient and straight lines

18 min

Gradient

The gradient (slope) measures steepness:

m = (y₂ - y₁) ÷ (x₂ - x₁)

Between (1, 2) and (3, 8): m = (8 - 2) ÷ (3 - 1) = 6 ÷ 2 = 3.

  • Positive gradient: line rises to the right.
  • Negative gradient: line falls to the right.
  • Horizontal line: gradient 0.

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