Question

find the midpoint m of the line segment joining the points c = (4, - 4) and d = (-2, 4).

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 $x_1 = 4,y_1=-4,x_2=-2,y_2 = 4$.

Step2: Calculate x - coordinate of mid - point

$x_m=\frac{4+( - 2)}{2}=\frac{4 - 2}{2}=\frac{2}{2}=1$.

Step3: Calculate y - coordinate of mid - point

$y_m=\frac{-4 + 4}{2}=\frac{0}{2}=0$.

Answer:

$(1,0)$