Coordinate Geometry — Slope & Line

Walkthrough

Find the gradient of the line through (1, 1) and (4, 7).

1. 1.Recall the gradient (slope) formula: m = (y₂ − y₁) / (x₂ − x₁).
2. 2.Identify the given points: (x₁, y₁) = (1, 1) and (x₂, y₂) = (4, 7).
3. 3.Substitute into the formula: m = (7 − 1) / (4 − 1).
4. 4.Compute: m = 6 / 3 = 2.
5. 5.So the gradient of the line is 2.