Question

Find the coordinates of the point which divides the join of (-1,7) and (4, -3) in the
ratio 2:3
​

Answer 1

Given:

• The join of (-1,7) and (4, -3).
• It is divided in 2:3.

Let's use the formula.

$(\frac{3x_2+2x_1}{3+2} ,\frac{3y_2+2y_1}{3+2} )$

Given $(x_1,y_1)=(-1,7)$, $(x_2,y_2)=(4,-3)$

↓ $(\frac{3x_2+2x_1}{3+2} ,\frac{3y_2+2y_1}{3+2} )=(\frac{12-2}{5} ,\frac{-9+14}{5} )$

↓ The point is $(2, 1)$.