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

Add

-9 + 6 = -3
Divide by 2

-1.5

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

(3, 1)

Answer 2

By definition, the midpoint is given by:

`m = ((x1+x2)/(2), (y1+y2)/(2))`

Part A:
For the line segment we have:

`m = (-9+6)/(2)`

`m= (-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 = ((-1+7)/(2), (3-1)/(2))`

`m = ((6)/(2), (2)/(2))`

`m = (3,1)`
Answer:
the coordinates of the midpoint of the segment is:
A. (3,1)