Question

1. find the midpoint between each pair of points. (-1, -5) and (-5, 9) (2, 3) (-3, 2) (2, -1) (-1, 7) clear all

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 $x_1=-1,y_1 = - 5,x_2=-5,y_2 = 9$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{-1+( - 5)}{2}=\frac{-1 - 5}{2}=\frac{-6}{2}=-3$.

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

$y=\frac{-5 + 9}{2}=\frac{4}{2}=2$.

Answer:

$(-3,2)$