Question

Find the point B on AC such that the ratio of AB to BC is 2:3

Answer 1

Answer:

B(4, - 3 )

Step-by-step explanation:

We have A(2, - 7) and C(7, 3 )

Using the section formula to calculate the coordinates of B

$x_{B}$ = $\frac{3(2)+2(7)}{2+3}$ = $\frac{6+14}{5}$ = $\frac{20}{5}$ = 4

$y_{B}$ = $\frac{3(-7)+2(3)}{2+3}$ = $\frac{-21+6}{5}$ = $\frac{-15}{5}$ = - 3

Hence B(4, - 3 )