Question

find the midpoint of the line segment with the given endpoints 6) (-5, 8), (-4, 10) 7) (-8, 10)

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 $x_1,y_1,x_2,y_2$ for the points $(-5,8)$ and $(-4,10)$

Here $x_1=-5,y_1 = 8,x_2=-4,y_2 = 10$.

Step3: Calculate the x - coordinate of the mid - point

$\frac{x_1 + x_2}{2}=\frac{-5+( - 4)}{2}=\frac{-5 - 4}{2}=\frac{-9}{2}=-4.5$.

Step4: Calculate the y - coordinate of the mid - point

$\frac{y_1 + y_2}{2}=\frac{8 + 10}{2}=\frac{18}{2}=9$.

Answer:

$(-4.5,9)$