Question

find the midpoint of the line segment joining points a and b. a(6, - 5); b(2,3)
the midpoint of the line segment is . (type an ordered pair.)

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 $x_1 = 6,y_1=-5,x_2 = 2,y_2 = 3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{6 + 2}{2}=\frac{8}{2}=4$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-5+3}{2}=\frac{-2}{2}=-1$.

Answer:

$(4,-1)$