Question

find the coordinates of the midpoint of a segment with the given endpoints.

1. k(-9, 3), h(5, 7)
2. w(-12, -7), t(-8, -4)

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: Solve for mid - point of segment KH

For points $K(-9,3)$ and $H(5,7)$, $x_1=-9$, $y_1 = 3$, $x_2=5$, $y_2 = 7$.
$x=\frac{-9 + 5}{2}=\frac{-4}{2}=-2$
$y=\frac{3+7}{2}=\frac{10}{2}=5$
The mid - point of segment $KH$ is $(-2,5)$.

Step3: Solve for mid - point of segment WT

For points $W(-12,-7)$ and $T(-8,-4)$, $x_1=-12$, $y_1=-7$, $x_2=-8$, $y_2=-4$.
$x=\frac{-12+( - 8)}{2}=\frac{-12 - 8}{2}=\frac{-20}{2}=-10$
$y=\frac{-7+( - 4)}{2}=\frac{-7 - 4}{2}=\frac{-11}{2}=-5.5$
The mid - point of segment $WT$ is $(-10,-5.5)$

Answer:

Mid - point of $KH$: $(-2,5)$
Mid - point of $WT$: $(-10,-5.5)$