Question

find the midpoint of the line segement from (5,-1) to (-2,-4)

Answer 1

The formula of a midpoint between two points:

$M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

We have (5, -1) and (-2, -4).

Substitute:

$\dfrac{5+(-2)}{2}=\dfrac{3}{2}=1.5\\\\\dfrac{-1+(-4)}{2}=\dfrac{-5}{2}=-2.5$

Answer: The midpoint is (1.5, -2.5).