Question

1. the endpoints of gh are g(-3,0) and h(7,-8). find the coordinates of the midpoint m. a. (-5,4) b. (-10,8) c. (4,-8) d. (2,-4)

Explanation:

Step1: Recall mid - point formula

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

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

Here, $x_1=-3,y_1 = 0,x_2=7,y_2=-8$.

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

$x=\frac{-3 + 7}{2}=\frac{4}{2}=2$.

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

$y=\frac{0+( - 8)}{2}=\frac{-8}{2}=-4$.

Answer:

D. $(2,-4)$