Question

5x $-$ y $-$ $\frac{2}{7}$ = 0

Answer 1

$$\begin{gathered} \mathrm{Given}:5x-y-\frac{2}{7}=0 \\ \Rightarrow 5x-y=\frac{2}{7} \\ \mathrm{Dividing}\mathrm{both}\mathrm{sides}\mathrm{by}\frac{20}{7},\mathrm{we}\mathrm{have}: \\ \frac{(5\times 7)x}{2}-\frac{7y}{2}=\frac{\frac{2}{7}}{\frac{2}{7}} \\ \Rightarrow \frac{x}{\left({\displaystyle \frac{2}{35}}\right)}+\frac{y}{\left({\displaystyle \frac{-2}{7}}\right)}=1 \\ \therefore x-\mathrm{intercept}=\frac{2}{35};y-\mathrm{intercept}=\frac{-2}{7} \end{gathered}$$