Question

find the midpoint of the line segment joining points a and b. a(3, - 1); b(3,2) 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 $x_1=3,y_1 = - 1,x_2=3,y_2 = 2$.

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

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

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

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

Answer:

$(3,\frac{1}{2})$