Question

given FH with coordinates F(4,-5) and H(-8,19), if G lies on FH such that that the ratio of FG to FH is 1:6, find the coordinates of G

Answer 1

Answer:

  G = (2, -1)

Step-by-step explanation:

You want ...

  FG/FH = 1/6 = (G -F)/(H -F)

  H -F = 6(G -F)

  H +5F = 6G . . . . . . add 6F, simplify

  G = (H +5F)/6 . . . . .divide by 6

Substituting the given coordinates, we get ...

  G = ((-8, 19) +5(4, -5))/6 = (-8+20, 19 -25)/6 = (12, -6)/6

  G = (2, -1)