Question

cd has endpoints at c(-4, 0) and d(0, 4). find the midpoint m of cd. write the coordinates as decimals or integers. m =

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify the coordinates

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

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

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

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{0 + 4}{2}=\frac{4}{2}=2$.

Answer:

$(-2,2)$