Question

the formula for the midpoint between two points $(x_1,y_1),(x_2,y_2)$ is $(\frac{(x_1 + x_2)}{2},\frac{(y_1 + y_2)}{2})$. segment $overline{gh}$ has endpoints $g(-3,7)$ and $h(-3,-7)$. what are the coordinates of the midpoint of $overline{gh}$? a. (-2.5,0) b. (0,-3) c. (-3,0) d. (-3,-7)

Explanation:

Step1: Identify the coordinates

Let $(x_1,y_1)=(-3,7)$ and $(x_2,y_2)=(-3, - 7)$.

Step2: Calculate the x - coordinate of the mid - point

Use the mid - point formula for the x - coordinate $x=\frac{x_1 + x_2}{2}$. Substitute $x_1=-3$ and $x_2=-3$: $x=\frac{-3+( - 3)}{2}=\frac{-3 - 3}{2}=\frac{-6}{2}=-3$.

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

Use the mid - point formula for the y - coordinate $y=\frac{y_1 + y_2}{2}$. Substitute $y_1 = 7$ and $y_2=-7$: $y=\frac{7+( - 7)}{2}=\frac{7 - 7}{2}=0$.

Answer:

C. (-3,0)