Question

17. Segment AB has midpoint M. If point A is (11,-1) and point B is (-3, 29), what is the value

of the x-coordinate of the midpoint?

Answer 1

The answer is 4

Explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

`M = ( (x1 + x2)/(2) , \: (y1 + y2)/(2) )`

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A( 11 , - 1 ) and B ( - 3 , 29)

The midpoint is

`M = ( (11 - 3)/(2) \: , \: ( - 1 + 29)/(2) ) \\ = ( (8)/(2) \: , \: (28)/(2) ) \\ = (4 \: , \: 14)`

The x coordinate of the midpoint is 4

Hope this helps you