Question 91

Point P is the midpoint of segment AB. Co-ordinates of P are (5, -1) and A are (2, -4). What are the co-ordinates of point B?

Solution

Mid-point = $$(\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})$$

(5 , -1) = $$(\frac{2+x}{2} , \frac{-4+y}{2})$$

2+x = 10 so x = 8

-4+y = -2 so y = 2

so the answer is option B.

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