Question

1. math on the spot $overline{cd}$ has endpoints $c(-3,4)$ and $d(1,-2)$. find the coordinates of its midpoint.

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-3,y_1 = 4,x_2=1,y_2=-2$.

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

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

Answer:

$(-1,1)$