Question

pq has endpoints at p(-7, -18) and q(7, 15). find the midpoint m of pq. 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 $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $x_1=-7$, $y_1=-18$, $x_2 = 7$, and $y_2=15$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-7 + 7}{2}=\frac{0}{2}=0$

Step3: Calculate y - coordinate of mid - point

$y=\frac{-18+15}{2}=\frac{-3}{2}=-1.5$

Answer:

$(0,-1.5)$