Question

place the coordinates that correctly complete the sentence. the midpoint between (8,3) and (12, -7) is (-4,10) (-2,5) (10, -2) (20, -4)

Explanation:

Step1: Recall mid - point formula

The mid - point formula between 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 $x_1=8,y_1 = 3,x_2=12,y_2=-7$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{8 + 12}{2}=\frac{20}{2}=10$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{3+( - 7)}{2}=\frac{3 - 7}{2}=\frac{-4}{2}=-2$.

Answer:

C. $(10,-2)$