Question

A line cutting off intercept –3 from the y-axis and the tangent of angle to the x-axis is $\frac{3}{5}$, its equation is
(a) 5y – 3x + 15 = 0
(b) 3y – 5x + 15 = 0
(c) 5y – 3x + 15 = 0
(d) none of these

Answer 1

$$\begin{gathered} \mathrm{Given}\mathrm{tan\theta }=\frac{3}{5}\mathrm{for}\mathrm{given}\mathrm{line} \\ \mathrm{i}.\mathrm{e}.m=\frac{3}{5} \\ \therefore y=\frac{3}{5}x-3\mathrm{is}\mathrm{the}\mathrm{equation} \\ \mathrm{i}.\mathrm{e}.5y=3x-15 \\ \mathrm{i}.\mathrm{e}.5y-3x+15=0\mathrm{is}\mathrm{the}\mathrm{required}\mathrm{equation} \end{gathered}$$

Hence, the correct answer is option A.