Point P(-4, 0)  lies on the directed line segment AE.  The endpoints are A(2, -6) and E(x, y).  What are the coordinates of point E  such that AP is 3/4 of the distance from A to E?

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.