Question

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.

Answer 1

Answer:

B = (- 4, $\frac{1}{2}$ )

Step-by-step explanation:

Using the Section formula

$x_{B}$ = $\frac{7(-9)+5(3)}{7+5}$ = $\frac{-63+15}{12}$ = $\frac{-48}{12}$ = - 4

$y_{B}$ = $\frac{7(-2)+5(4)}{7+5}$ = $\frac{-14+20}{12}$ = $\frac{6}{12}$ = $\frac{1}{2}$

Thus coordinates of B = (- 4, $\frac{1}{2}$ )