Question

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

Answer 1

$\frac{m}{n} = \frac{2}{3}$

$let \: c(xy) \: be \: that \: point$

$x = \frac{m x_{2} + n x_{1} }{m + n}$

$= \frac{2 \times 4 + 3 \times - 1}{2 + 3}$

$= \frac{8 + - 3}{5}$

$= \frac{5}{5}$

$x = 1$

$y = \frac{m y_{2} +n y_{1}}{m + n}$

$= \frac{2 \times 7 + 3 \times - 3}{2 + 3}$

$= \frac{14 - 9}{5}$

$= \frac{5}{5}$

$y = 1$

$(x,y)=(1,1)$