Question

p(7, 78) and q(58, 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: Calculate x - coordinate of mid - point

Use mid - point formula for x - coordinate $x=\frac{x_1 + x_2}{2}$, where $x_1 = 7$ and $x_2=58$.
$x=\frac{7 + 58}{2}=\frac{65}{2}=32.5$

Step2: Calculate y - coordinate of mid - point

Use mid - point formula for y - coordinate $y=\frac{y_1 + y_2}{2}$, where $y_1 = 78$ and $y_2 = 81$.
$y=\frac{78+81}{2}=\frac{159}{2}=79.5$

Answer:

$(32.5,79.5)$