GB-23-02-001 · Gradient between points

Find the gradient of the line through $(-10,39)$ and $(-7,24)$ .

Coordinate Geometry: Gradient of a Line Booklet p. 80

Method

1) Label points (x₁, y₁) and (x₂, y₂)

2) Use m = (y₂ − y₁) / (x₂ − x₁)

Worked Example (GB-23-02-001)

x_1 \quad y_1

(-10,\; 39)

and

x_2 \quad y_2

(-7,\; 24)

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{24 - (39)}{-7 - (-10)} = \frac{-15}{3}

-5