Question

1. a line segment has endpoints a(7, - 1) and b(-3,3). what are the coordinates of the midpoint of ab?

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1 = 7,y_1=-1,x_2=-3,y_2 = 3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{7+( - 3)}{2}=\frac{7 - 3}{2}=\frac{4}{2}=2$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-1 + 3}{2}=\frac{2}{2}=1$.

Answer:

$(2,1)$