Question

1. given the graph below, find gh. 15. find the midpoint between each pair of points. 15. (-1, -5) and (-5, 9) 16. (7, -2) and (-4, 2) 14. __ 15. 16. __

Explanation:

Step1: Recall mid - point formula

The mid - point formula between 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 problem 15

For points $(-1,-5)$ and $(-5,9)$, $x_1=-1$, $y_1 = - 5$, $x_2=-5$, $y_2 = 9$.
$x$ - coordinate of mid - point: $\frac{-1+( - 5)}{2}=\frac{-1 - 5}{2}=\frac{-6}{2}=-3$.
$y$ - coordinate of mid - point: $\frac{-5 + 9}{2}=\frac{4}{2}=2$.
The mid - point is $(-3,2)$.

Step3: Solve for problem 16

For points $(7,-2)$ and $(-4,2)$, $x_1 = 7$, $y_1=-2$, $x_2=-4$, $y_2 = 2$.
$x$ - coordinate of mid - point: $\frac{7+( - 4)}{2}=\frac{7 - 4}{2}=\frac{3}{2}=1.5$.
$y$ - coordinate of mid - point: $\frac{-2 + 2}{2}=\frac{0}{2}=0$.
The mid - point is $(1.5,0)$.

Answer:

1. $(-3,2)$
2. $(1.5,0)$