Question

Find the gradient of the line segment between the points (2,3) and (-3,8).

Answer 1

`m = -1`

Explanation:

Given

Points (2,3) and (-3,8)

Required

Determine the gradient

Gradient (m) is calculated by dividing the change in y values by the change in x values.

i.e.

`m = (y_2 - y_1)/(x_2 - x_1)`

Where:

`(x_1,y_1) = (2,3)`

`(x_2,y_2) = (-3,8)`

`m = (y_2 - y_1)/(x_2 - x_1)` becomes

`m = (8 - 3)/(-3 -2)`

`m = (5)/(-5)`

`m = -1`

Hence, the gradient is -1