Question

p(-80, -64) and q(67, 81) are the endpoints of a line segment. what is the midpoint m of that line segment? write the coordinates as decimals or integers. m = ( ) ( )

Explanation:

Step1: Find x - coordinate of mid - point

Use the mid - point formula for x - coordinate $x_M=\frac{x_1 + x_2}{2}$, where $x_1=-80$ and $x_2 = 67$.
$x_M=\frac{-80 + 67}{2}=\frac{-13}{2}=-6.5$

Step2: Find y - coordinate of mid - point

Use the mid - point formula for y - coordinate $y_M=\frac{y_1 + y_2}{2}$, where $y_1=-64$ and $y_2 = 81$.
$y_M=\frac{-64+81}{2}=\frac{17}{2}=8.5$

Answer:

$M=(-6.5,8.5)$