Question

find the midpoint of the line segment joining the points $p_1$ and $p_2$. $p_1=(2, - 6),p_2=(10,6)$. the midpoint of the line segment joining the points $p_1$ and $p_2$ 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, $x_1=2,y_1 = - 6,x_2 = 10,y_2=6$.

Step3: Calculate x - coordinate of mid - point

$\frac{x_1 + x_2}{2}=\frac{2 + 10}{2}=\frac{12}{2}=6$.

Step4: Calculate y - coordinate of mid - point

$\frac{y_1 + y_2}{2}=\frac{-6 + 6}{2}=\frac{0}{2}=0$.

Answer:

$(6,0)$