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If A and B are (-2,-2) and (2,-4). Find the coordinates P such that AP=3/7 AB and P lies on the line segment ab

User Breezeight
by
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1 Answer

6 votes

Answer:

The coordinates of point P are
(-(2)/(7), -(20)/(7)).

Explanation:

Point P:

The coordinates of point P are (x,y).

AP=3/7 AB

So


P - A = (3)/(7)(B-A)

We apply this both for coordinate x and coordinate y.

Coordinate x:


x - (-2) = (3)/(7)(2 - (-2))


x + 2 = (12)/(7)


x = (12)/(7) - 2 = (12)/(7) - (14)/(7) = -(2)/(7)

Coordinate y:


y - (-2) = (3)/(7)(-4 - (-2))


y + 2 = -(6)/(7)


y = -(6)/(7) - 2 = -(6)/(7) - (14)/(7) = -(20)/(7)

The coordinates of point P are
(-(2)/(7), -(20)/(7)).

User Cluny
by
8.3k points

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