Question

pq has endpoints at p(15.2, 7.8) and q(9.3, 9.6). 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, $x_1 = 15.2$, $y_1=7.8$, $x_2 = 9.3$, and $y_2 = 9.6$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{15.2+9.3}{2}=\frac{24.5}{2}=12.25$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{7.8 + 9.6}{2}=\frac{17.4}{2}=8.7$.

Answer:

$(12.25,8.7)$