Question

$overline{pq}$ has endpoints at $p(8.7, 0.4)$ and $q(-2.2, -8.8)$. find the midpoint $m$ of $overline{pq}$. write the coordinates as decimals or integers. $m = ( square, square )$

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 $x_1 = 8.7$, $y_1=0.4$, $x_2=-2.2$, $y_2 = - 8.8$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{8.7+( - 2.2)}{2}=\frac{8.7 - 2.2}{2}=\frac{6.5}{2}=3.25$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{0.4+( - 8.8)}{2}=\frac{0.4 - 8.8}{2}=\frac{-8.4}{2}=-4.2$.

Answer:

$(3.25,-4.2)$