How do you find the midpoint of the line segment joining (5,8) and (1,2)?

1 Answer
Dec 28, 2016

(3,5)

Explanation:

We can use the color(blue)"mid-point formula"

Given the coordinates of 2 points A (x_1,y_1),B(x_2,y_2) then the mid-point is found using.

color(red)(bar(ul(|color(white)(2/2)color(black)(M_(AB)=[1/2(x_1+x_2),1/2(y_1+y_2)])color(white)(2/2)|)))

The 2 points here are (5 ,8) and (1 ,2)

"mid-point " =[1/2(5+1),1/2(8+2)]=(3,5)