Question

1. (-1, -5) and (-5, 9) find the midpoint between each pair of points. 16. (7, -2) and (-4, 2)

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 mid - point of $(-1,-5)$ and $(-5,9)$

For $x$ - coordinate: $\frac{-1+( - 5)}{2}=\frac{-1 - 5}{2}=\frac{-6}{2}=-3$.
For $y$ - coordinate: $\frac{-5 + 9}{2}=\frac{4}{2}=2$. So the mid - point is $(-3,2)$.

Step3: Solve for mid - point of $(7,-2)$ and $(-4,2)$

For $x$ - coordinate: $\frac{7+( - 4)}{2}=\frac{7 - 4}{2}=\frac{3}{2}=1.5$.
For $y$ - coordinate: $\frac{-2 + 2}{2}=\frac{0}{2}=0$. So the mid - point is $(1.5,0)$.

Answer:

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