Question

question 8 of 10 what is the midpoint of the segment shown below? (-2, 4) (6, -4) a. (1, 0) b. (3, 0) c. (2, 0) d. (4, 0)

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, $x_1=-2,y_1 = 4,x_2=6,y_2=-4$.

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

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

Answer:

C. $(2,0)$