Question

1. find the midpoint given these positions (-5, -7) and (-3, -9). (4, 8) (1, 1) (-4, -8) (-1, -1)

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 $x_1=-5,y_1 = - 7,x_2=-3,y_2=-9$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-5+( - 3)}{2}=\frac{-5 - 3}{2}=\frac{-8}{2}=-4$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-7+( - 9)}{2}=\frac{-7 - 9}{2}=\frac{-16}{2}=-8$.

Answer:

C. (-4, -8)