Question

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

Answer 1

`(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)`