Question

A line segment on a number line has its endpoints at -9 and 6. Find the coordinate of the midpoint of the segment.. . A. 1.5. * B. -1.5. C. 2. D. -3. . Find the coordinates of the midpoint of HX given that H(-1,3) and X(7,-1).. . A. (3,1). * B. (0,4). C. (-3,1). D. (-4,0). . please help!

Answer 1

By definition, the midpoint is given by:
 $m = (\frac{x1+x2}{2}, \frac{y1+y2}{2})$

 Part A:
 For the line segment we have:
 $m = \frac{-9+6}{2}$
 $m= \frac{-3}{2}$
 $m = -1.5$
 Answer:
 the coordinate of the midpoint of the segment is:
 B. -1.5

 Part B:
 For line segment HX we have:
 $m = (\frac{-1+7}{2}, \frac{3-1}{2})$
 $m = (\frac{6}{2}, \frac{2}{2})$
 $m = (3,1)$
 Answer:
 the coordinates of the midpoint of the segment is:
 A. (3,1)

Answer 2

Add

-9 + 6 = -3 
Divide by 2

-1.5

2)  -1 + 7 = 6 / 2 = 3 ;  3 + -1 = 2 / 2 = 1

(3, 1)