Question

find the midpoint of the line segment joining the points p₁ and p₂. p₁=(2, - 4); p₂=(6, 4) the midpoint of the line segment joining the points p₁ and p₂ is (simplify your answer. 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 $x_1 = 2,y_1=-4,x_2 = 6,y_2 = 4$.

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

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

Answer:

$(4,0)$