Question

Find the equation of the line cutting off intercepts $\frac{-1}{2}$ and $2$ on the $X$ and $Y$ axes respectively.

Answer 1

$X$-intercept$=a=\frac{-1}{2}$

$Y$-intercept$=b=2$

Equation of the line is $\frac{x}{a}+\frac{y}{b}=1$

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

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

$\Rightarrow -4x+y=2$

$\Rightarrow 4x-y=-2$

$\therefore$ Equation of the line is $4x-y+2=0$