Question

the endpoints of $overline{cd}$ are $c(-2,0)$ and $d(4,9)$. the coordinates of the mid - point $m$ of $overline{cd}$ are ( , ).

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 $x_1=-2,y_1 = 0,x_2 = 4,y_2=9$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-2 + 4}{2}=\frac{2}{2}=1$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{0 + 9}{2}=\frac{9}{2}=4.5$.

Answer:

$(1,4.5)$