Question

1. find the midpoint of ab, given a(3, 10) and b(-2, 8)

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 $x_1 = 3,y_1=10,x_2=-2,y_2 = 8$.

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

$y=\frac{10 + 8}{2}=\frac{18}{2}=9$

Answer:

$(\frac{1}{2},9)$