Question

Find x and y intercepts of each of the following line.
y = 2x $-$ 3

Answer 1

$$\begin{gathered} \mathrm{Given}:y=2x-3 \\ \Rightarrow 2x-y=3 \\ \mathrm{Dividing}\mathrm{both}\mathrm{sides}\mathrm{by}3,\mathrm{we}\mathrm{have}: \\ \frac{2x}{3}-\frac{y}{3}=\frac{3}{3} \\ \Rightarrow \frac{x}{{\displaystyle \frac{3}{2}}}+\frac{y}{-3}=1 \\ \therefore x-\mathrm{intercept}=\frac{3}{2};y-\mathrm{intercept}=-3 \end{gathered}$$