Question

on the coordinate plane, the endpoints of a line segment are (-4, -5) and (-2, 3). what is the midpoint of the line segment? a (-3, -1) b (-1, -3) c (1, -3) d (-2, 1) e (3, 1)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-4,y_1 = - 5,x_2=-2,y_2 = 3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-4+( - 2)}{2}=\frac{-4 - 2}{2}=\frac{-6}{2}=-3$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-5 + 3}{2}=\frac{-2}{2}=-1$.

Answer:

A. $(-3,-1)$