Given AC with A(3, 4) and C(-9, -2), if B partitions AC such that the ratio of AB to BC is 7:5, find the coordinates of B.

asked Oct 9, 2020 201k views

1 vote

Given AC with A(3, 4) and C(-9, -2), if B

partitions AC such that the ratio of AB to BC
is 7:5, find the coordinates of B.

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2 votes

Answer:

B = (- 4,
(1)/(2) )

Explanation:

Using the Section formula

x_(B) =
(7(-9)+5(3))/(7+5) =
(-63+15)/(12) =
(-48)/(12) = - 4

y_(B) =
(7(-2)+5(4))/(7+5) =
(-14+20)/(12) =
(6)/(12) =
(1)/(2)

Thus coordinates of B = (- 4,
(1)/(2) )

Waterproof answered Oct 13, 2020

8.3k points

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