Question

A line segment has endpoints at (2,10) and (10,2). What are the coordinates of the midpoint of the line segment?

Answer 1

Answer:

(6,6)

Step-by-step explanation:

The midpoint formula is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$. Substitute (2,10) and (10,2) into this formula and simplify.

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ) \\(\frac{2+10}{2},\frac{10+2}{2} ) \\(\frac{12}{2},\frac{12}{2} ) \\(6,6)$