What is the equation of the line passing through the point (-1, 3) and having x-intercept of 4 units?

Answer: Option B

Slope (m₁) for the line PQ $$=\frac{y_2-y_1}{x_2-x_1}=\frac{0-3}{4+1}=\frac{-3}{5}$$
Now, required equation of the line passing through (-1, 3) and having x-intercept of 4
$$\begin{array}{rl}& y=m\left(x-a\right)\\ & \Rightarrow y=-\frac{3}{5}\left(x-4\right)\\ & \Rightarrow 5y=-3x+12\\ & \Rightarrow 3x+5y=12\end{array}$$