Question

what is the midpoint of the segment below? (2, 3) (-3, -2) a. (-0.5, 0.5) b. (0, 0) c. (5, 5) d. (2.5, 2.5)

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, $x_1=-3,y_1 = - 2,x_2=2,y_2 = 3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-3 + 2}{2}=\frac{-1}{2}=-0.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-2+3}{2}=\frac{1}{2}=0.5$.

Answer:

A. (-0.5, 0.5)