Question

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

Answer 1

Answer:

$m = -1$

Step-by-step 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.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

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

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

$m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

$m = \frac{8 - 3}{-3 -2}$

$m = \frac{5}{-5}$

$m = -1$

Hence, the gradient is -1