Question

Line segment AB has endpoints A(7.5, 4.2) and B(2.3, 5.4). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3.

Answer 1

Answer:

  (6.2, 4.5)

Step-by-step explanation:

That point (P) will be the weighted average of the end points, where each weight is the proportion of the segment at the end farthest from the point:

  P = (3A +1B)/(3+1)

  = (3·7.5 +2.3, 3·4.2 +5.4)/4

  = (24.8, 18)/4

  = (6.2, 4.5)