Question

Given the points a ( -2,4 ) and b(7,-2) find the coordinates of the point p on the directed like segment ab that partitions ab in the ratio 1:2

Answer 1

9514 1404 393

Answer:

  p = (1, 2)

Step-by-step explanation:

We want ...

  (p -a)/(b -p) = 1/2

  2(p -a) = b -p . . . . . cross multiply

  3p = b +2a . . . .. . . rearrange

  p = (b +2a)/3

  p = ((7, -2) +2(-2, 4))/3 = (7 -4, -2 +8)/3 = (3, 6)/3

  p = (1, 2)