SOLUTION: locate the point on the line segment between A(3,-5) and B(13,-15) given that the point 4/5 of the way A to B

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Question 1151620: locate the point on the line segment between A(3,-5) and B(13,-15) given that the point 4/5 of the way A to B
Found 2 solutions by greenestamps, math_helper:
Answer by greenestamps(13216) (Show Source):
You can put this solution on YOUR website!

When you move 4/5 of the way from A to B along the line segment AB, you go 4/5 of the way in the x direction and 4/5 of the way in the y direction. So work with the x- and y-coordinates separately.

In the x direction from A to B is from 3 to 13, a distance of 10; 4/5 of that distance is 8, so the x coordinate of the point you are looking for is 3+8=11.

And in the y direction from A to B is from -5 to -15, a change of -10; 4/5 of that is -8, so the y coordinate of the point you are looking for is -5-8 = -13.

ANSWER:(11,-13)

Answer by math_helper(2461) (Show Source):
You can put this solution on YOUR website!

Call this point M. M is at (Mx, My).
Mx is (4/5) of the x-distance from A to B
My is (4/5) of the y-distance from A to B

Mx = (4/5)(13-3) + 3 = 11
My = (4/5)(-15-(-5)) - 5 = -13
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M is at (11,-13)
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Check:
|AB| =
|AM| =
(ok)