Point A, located at (-8, 3), is the location of the storage closet and point C, located at (12, -4), is the director's office. Find point B, the location of the art supplies, if it is 2 over 5 the distance from point A to point C.

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anonymous · Answer

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ranga · Answer

You are given the coordinates of two pints, A and C.
You are asked to find the coordinates of point B on line AC that is 2/5th the distance from point A to point C.
To find point B, go 2/5th the x-distance along the x-axis and 2/5th the y-distance along the y-axis.
A is (-8, 3) and C is (12, -4)
x-distance is: 12 - (-8) = 20.  2/5th of 20 is 8.
y-distance is: -4 - 3 = -7.  2/5th of -7 is -14/5.
Add this to the coordinates of point A to find point B:
(- 8 + 8,  3 - 14/5) = (0, 1/5)