Question

Answer this please Segment Partitions

Answer 1

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Answer:

  E = (-2, -1.5), see attached for a plot

Step-by-step explanation:

We want point E such that ...

  EC/DC = 3/4 . . . . . . . . the ratio of segment lengths is 3/4

  (E -C)/(D -C) = 3/4 . . . . the ratio of coordinate differences is 3/4

  4(E -C) = 3(D -C) . . . . . cross multiply

  4E = 3D -3C +4C . . . . isolate E term

  E = (3D +C)/4 . . . . . . . divide by 4 to find E

__

  E = (3(-3, -4) +(1, 6))/4 = (-9+1, -12 +6)/4

  E = (-2, -1.5)

The point is plotted in the attached graph.