Final answer:
The midpoint of the segment with endpoints (-9, -7) and (2, 7) is found using the midpoint formula, yielding the result (-3.5, 0), which is option a.
Step-by-step explanation:
The question asks to find the midpoint of the segment with endpoints (-9, -7) and (2, 7). To find the midpoint, we use the midpoint formula which is given by ((x1 + x2)/2, (y1 + y2)/2). To find the midpoint of a segment, we can use the midpoint formula. The midpoint formula is given by:
M = ((x1 + x2)/2, (y1 + y2)/2)
Applying this formula to the given endpoints:
- x-midpoint = (-9 + 2)/2 = -7/2 = -3.5
- y-midpoint = (-7 + 7)/2 = 0/2 = 0
Therefore, the coordinates of the midpoint are (-3.5, 0), which corresponds to option a.