Question

what is the midpoint of the segment shown below? (-8, -7) (-7, -8) a. (-15, -15) b. (-\frac{15}{2}, -15) c. (-\frac{15}{2}, -\frac{15}{2}) d. (-15, -\frac{15}{2})

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, $x_1=-8,y_1 = - 7,x_2=-7,y_2=-8$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-8+( - 7)}{2}=\frac{-8 - 7}{2}=-\frac{15}{2}$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-7+( - 8)}{2}=\frac{-7 - 8}{2}=-\frac{15}{2}$.

Answer:

C. $(-\frac{15}{2},-\frac{15}{2})$