SSC CHSL 10 Jan 2017 Shift 2 Paper

A line with x-intercept 3/4 will intercept x-axis at $\left(\frac{3}{4},0\right)$
A line with y-intercept 2/3 will intercept y-axis at $\left(0,\frac{2}{3}\right)$
⇒ Slope, $\mathit{m}=\frac{2}{3}÷-\frac{3}{4}=-\frac{8}{9}$
Equation of line passing thorough points $\left({\mathit{x}}_1,{\mathit{y}}_1\right)$ and slope $\mathit{m}=\left(\mathit{y}-{\mathit{y}}_1\right)=\mathit{m}\left(\mathit{x}-{\mathit{x}}_1\right)$
⇒ Equation of line = $\left(\mathit{y}-0\right)=-\frac{8}{9}\left(\mathit{x}-\frac{3}{4}\right)$
⇒ $9\mathit{y}=-8\mathit{x}+6$
⇒ $8\mathit{x}+9\mathit{y}=6$