Question

1. find the midpoint for each segment with the given endpoints.

a. c(-2, 5) and d(8, -12).

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify the values of $x_1,y_1,x_2,y_2$

Here, $x_1=-2,y_1 = 5,x_2=8,y_2=-12$.

Step3: Calculate the x - coordinate of the mid - point

$x=\frac{-2 + 8}{2}=\frac{6}{2}=3$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{5+( - 12)}{2}=\frac{5 - 12}{2}=\frac{-7}{2}=-3.5$.

Answer:

$(3,-3.5)$