Question

qr has endpoints at q(53, - 57) and r(-63, -73). find the mid - point 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, $x_1 = 53$, $y_1=-57$, $x_2=-63$, $y_2 = - 73$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{53+( - 63)}{2}=\frac{53 - 63}{2}=\frac{-10}{2}=-5$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{-57+( - 73)}{2}=\frac{-57 - 73}{2}=\frac{-130}{2}=-65$.

Answer:

$(-5,-65)$