Locate the point on the line segment between A(3,-5) and B(13,-15) given the point is 4/5 of way from A to B show your work

  (11, -13)

Explanation:

The location of P is specified so that ...

  (P -A) = (4/5)(B - A)

  P = A + 4/5B - 4/5A = 4/5B +1/5A

  P = (4B +A)/5 = (4(13, -15) +(3, -5))/5 = (55, -65)/5

  P = (11, -13)

The desired point is (11, -13).

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