Question

find the midpoint of the line segment joining points a and b. a(-4,6); b(-4,-7) the midpoint is (type an ordered pair. simplify your answer.)

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 $x_1=-4,y_1 = 6,x_2=-4,y_2=-7$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-4+( - 4)}{2}=\frac{-4 - 4}{2}=\frac{-8}{2}=-4$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{6+( - 7)}{2}=\frac{6 - 7}{2}=-\frac{1}{2}$.

Answer:

$(-4,-\frac{1}{2})$