Question

find the equation of the line passing through the point (-3,2) and is perpendicular to xaxis

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{know}\mathrm{that}\mathrm{slope}\mathrm{of}\mathrm{a}\mathrm{line}\left(\mathrm{m}\right)\mathrm{making}\mathrm{an}\mathrm{angle}\mathrm{of}\mathrm{\theta }\mathrm{with}\mathrm{x}-\mathrm{axis}\mathrm{is} \\ \mathrm{m}=\tan \mathrm{\theta } \\ \mathrm{Now},\mathrm{m}=\tan 90°=\infty \\ \mathrm{Now},\mathrm{equation}\mathrm{of}\mathrm{a}\mathrm{line}\mathrm{passing}\mathrm{through}\left(-3,2\right)\mathrm{and}\mathrm{having}\mathrm{slope}\infty \mathrm{is}, \\ \frac{\mathrm{y}-2}{\mathrm{x}+3}=\frac{1}{0} \\ \Rightarrow \mathrm{x}=-3 \end{gathered}$$