Question

find the midpoint of the line segment joining the points p₁ and p₂. p₁=(5, - 4); p₂=(7, 6) 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 $P_1=(x_1,y_1)$ and $P_2=(x_2,y_2)$ is $M = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify coordinates

Here $x_1 = 5,y_1=-4,x_2 = 7,y_2 = 6$.

Step3: Calculate x - coordinate of mid - point

$x=\frac{5 + 7}{2}=\frac{12}{2}=6$.

Step4: Calculate y - coordinate of mid - point

$y=\frac{-4+6}{2}=\frac{2}{2}=1$.

Answer:

$(6,1)$