Question

Find equation of line the portion of which intercepted between the axes is divided by the point (-5 , 4) in ratio 1 : 2

Answer 1

Let equation of line in intercept form be $\frac{x}{\alpha }+\frac{y}{\beta }=1$

Ref. image

$\Rightarrow -5=\frac{2\alpha }{3}\Rightarrow \alpha =\frac{-15}{2}$

& $-4=\frac{2\left(0\right)+\beta }{3}\Rightarrow \beta =-12$

$\Rightarrow \frac{2x}{(-15)}+\frac{y}{(-12)}=1$

$\Rightarrow \frac{2x}{15}+\frac{y}{12}=-1$