Question

find the mid - point of the line segment joining the points (p_1) and (p_2). (p_1=(-1,6)), (p_2=(4,0)) the mid - point 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 $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $x_1=-1,y_1 = 6,x_2 = 4,y_2=0$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-1 + 4}{2}=\frac{3}{2}=1.5$

Step3: Calculate y - coordinate of mid - point

$y=\frac{6+0}{2}=3$

Answer:

$(1.5,3)$