Question

find the midpoint m of the line segment joining the points c = (8, - 7) and d = (-6, 5).

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $x_1 = 8,y_1=-7,x_2=-6,y_2 = 5$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{8+( - 6)}{2}=\frac{8 - 6}{2}=\frac{2}{2}=1$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-7 + 5}{2}=\frac{-2}{2}=-1$.

Answer:

$(1,-1)$