Question

find the midpoint m of the line segment joining the points c = (-3, 7) and d = (1, 3).

Explanation:

Step1: Recall mid - point formula

For two points $(x_1,y_1)$ and $(x_2,y_2)$, the mid - point $(x_m,y_m)$ is given by $x_m=\frac{x_1 + x_2}{2}$ and $y_m=\frac{y_1 + y_2}{2}$. Here, $x_1=-3,y_1 = 7,x_2=1,y_2 = 3$.

Step2: Calculate x - coordinate of mid - point

$x_m=\frac{-3 + 1}{2}=\frac{-2}{2}=-1$.

Step3: Calculate y - coordinate of mid - point

$y_m=\frac{7+3}{2}=\frac{10}{2}=5$.

Answer:

$M=(-1,5)$