Question

find the midpoint m of the line segment joining the points c = (-4, 6) and d = (0, -6). m = ( )

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 $x_1=-4,y_1 = 6,x_2=0,y_2=-6$.

Step2: Calculate the x - coordinate of the mid - point

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

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{6+( - 6)}{2}=\frac{6 - 6}{2}=0$.

Answer:

$(-2,0)$