Question

1. find the mid - point of segment gh given g(7, - 5) and h(9, - 1). m( )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify coordinates

Here $x_1=7,y_1 = - 5,x_2=9,y_2=-1$.

Step3: Calculate x - coordinate of mid - point

$\frac{x_1 + x_2}{2}=\frac{7 + 9}{2}=\frac{16}{2}=8$.

Step4: Calculate y - coordinate of mid - point

$\frac{y_1 + y_2}{2}=\frac{-5+( - 1)}{2}=\frac{-5 - 1}{2}=\frac{-6}{2}=-3$.

Answer:

$M(8,-3)$