Question

find the midpoint of the line segment joining points a and b. a(6, - 7); b(6,3) 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 $x_1=6,y_1=-7,x_2 = 6,y_2=3$.

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

$x=\frac{6 + 6}{2}=\frac{12}{2}=6$.

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

$y=\frac{-7+3}{2}=\frac{-4}{2}=-2$.

Answer:

$(6,-2)$