Question

a line segment has the endpoints p(88, 86) and q(27, 42). find the coordinates of its midpoint m. 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 $x_1 = 88,y_1=86,x_2 = 27,y_2 = 42$.

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

$x=\frac{88 + 27}{2}=\frac{115}{2}=57.5$.

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

$y=\frac{86+42}{2}=\frac{128}{2}=64$.

Answer:

$(57.5,64)$