Question

r(45, 85) and s(77, 90) 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: 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 $x_1 = 45,y_1=85,x_2 = 77,y_2 = 90$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{45 + 77}{2}=\frac{122}{2}=61$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{85+90}{2}=\frac{175}{2}=87.5$.

Answer:

$(61,87.5)$