Question

find the midpoint of the line segment joining the points p1 and p2. p1 = (-2,4); p2=(5,0) (simplify your answer. type an ordered pair.)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $P_1=(x_1,y_1)$ and $P_2=(x_2,y_2)$ is $M = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-2,y_1 = 4,x_2=5,y_2 = 0$.

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

$x=\frac{-2 + 5}{2}=\frac{3}{2}$

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

$y=\frac{4+0}{2}=2$

Answer:

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