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P divides a line segment AB into two equal halves. P lies at (-1, 4) and B lies at (2,7). What are the coordinates of A?
Question
P divides a line segment AB into two equal halves.
P lies at (-1, 4) and B lies at (2,7).
What are the coordinates of A?
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Mathematics
5 months
2021-08-10T20:30:58+00:00
2021-08-10T20:30:58+00:00 1 Answers
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Answers ( )
Answer:
A(-4, 1)
Step-by-step explanation:
The parts being equal means …
A – P = P – B
A = 2P – B . . . . . . . . useful to remember for P being the midpoint of AB
A = 2(-1, 4) -(2, 7) = (-2-2, 8-7)
A = (-4, 1)