Question

find the midpoint of the line segment joining the points p₁ and p₂. p₁=(4, -6); p₂=(6, 10) 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 $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify coordinates

Here $x_1 = 4,y_1=-6,x_2 = 6,y_2 = 10$.

Step3: Calculate x - coordinate of mid - point

$x=\frac{4 + 6}{2}=\frac{10}{2}=5$.

Step4: Calculate y - coordinate of mid - point

$y=\frac{-6 + 10}{2}=\frac{4}{2}=2$.

Answer:

$(5,2)$