Question

find the midpoint of the line segment

1. (1, -10), (4, 2)

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 $x_1 = 1,y_1=-10,x_2 = 4,y_2 = 2$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{1 + 4}{2}=\frac{5}{2}=2.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-10 + 2}{2}=\frac{-8}{2}=-4$.

Answer:

$(2.5,-4)$