Question

qr has endpoints at q(14, 6) and r(-8, -14). find the midpoint m of qr. 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, $x_1 = 14,y_1 = 6,x_2=-8,y_2=-14$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{14+( - 8)}{2}=\frac{14 - 8}{2}=\frac{6}{2}=3$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{6+( - 14)}{2}=\frac{6 - 14}{2}=\frac{-8}{2}=-4$.

Answer:

$(3,-4)$