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

Solution (By Examveda Team)

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
$$\eqalign{ & y = m\left( {x - a} \right) \cr & \Rightarrow y = - \frac{3}{5}\left( {x - 4} \right) \cr & \Rightarrow 5y = - 3x + 12 \cr & \Rightarrow 3x + 5y = 12 \cr} $$