Question

Find the gradient of the line segment between the points (-2,3) and (0,2).

Give your answer in its simplest form.

Answer 1

`(-1)/(2)`

Explanation:

Slope or gradient:

(-2 , 3) ⇒ x₁ = -2 & y₁ = 3

(0 , 2) ⇒ x₂ = 0 & y₂ = 2

`\boxed{\bf Slope = (y_2-y_1)/(x_2-x_1)}`

`\sf = (2-3)/(0-[-2])\\\\\\=(-1)/(0+2)\\\\=(-1)/(2)`