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

Answer:

The answer is 4

Step-by-step explanation:

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

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

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

$M = ( \frac{11 - 3}{2} \: , \: \frac{ - 1 + 29}{2} ) \\ = ( \frac{8}{2} \: , \: \frac{28}{2} ) \\ = (4 \: , \: 14)$

The x coordinate of the midpoint is 4

Hope this helps you