Final answer:
To find the midpoint of a line segment, use the midpoint formula [(x1 + x2)/2, (y1 + y2)/2] and substitute the given endpoints. The correct midpoint is (6, -4.5).
Step-by-step explanation:
To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), we can use the midpoint formula:
Midpoint = [(x1 + x2)/2, (y1 + y2)/2]
Using the given endpoints (12, -9), the midpoint can be calculated as follows:
Midpoint = [(12 + x2)/2, (-9 + y2)/2]
By substituting the given values, the midpoint is:
Midpoint = [(12 + x2)/2, (-9 + y2)/2] = [(12 + x2)/2, (-9 + y2)/2]
The correct choice for the midpoint is (6, -4.5) (option a).