Question

1. find the midpoint of a line segment with endpoints a(4, 7) and b(2, 1). be sure to include your work.(3 pts)

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, $x_1 = 4,y_1=7,x_2 = 2,y_2 = 1$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{4 + 2}{2}=\frac{6}{2}=3$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{7+1}{2}=\frac{8}{2}=4$.

Answer:

$(3,4)$