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Coordinate Geometry
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10/06/2021 1:21 pm
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If A and B are (-2, -2) and (2, -4), respectively, find the coordinates of P such that AP = 3/7 AB and P lies on the line segment AB.
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10/06/2021 1:26 pm
The coordinates of point A and B are (-2,-2) and (2,-4) respectively. Since AP = 3/7 AB
Therefore, AP: PB = 3 : 4
Point P divides the line segment AB in the ratio 3 : 4.
Coordinate of P = \(\frac{3(2) + 4(-2)}{3+4}, \frac{3(-4)+4(-2)}{3+4}\)
= \((\frac{6-8}{7},\frac{-12-8}{7})\)
= \((-\frac{2}{7},-\frac{20}{7})\) which is required answer.