SOLUTION: find the point which divides the segment from (-5,-4) to (6,-2) in the ratio 2:3

Question 935410: find the point which divides the segment from (-5,-4) to (6,-2) in the ratio 2:3
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
The ratio uses the distance between the given points in five equal parts, and you want of this distance from one point to the other point.

Distance Formula! Unknown point between, (x,y).

Distance between given points, ,

Another way to take the rest of this is from (-5,-4) to (x,y) is 2 parts and from (x,y) to (6,-2) is 3 parts. Still two equations are needed.

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AND

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Instead of continuing to try to solve these two simultaneous quadratic equations in two variables, find and use the equation of the line containing the two given points!!

and pick second point,

A large number of more arithmetic steps using some substitutions with this line equation. (unfinished here)
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