The line represented by $4 x-3 y=9$ intersects the $y$-axis at\

Question

Professor PC Thomas Classes · Answer

(a) : Given, the equation of line is $4 x-3 y=9$. Putting $x=0$, we get $4 	imes 0-3 y=9 \Rightarrow y=-3$\ So, the line $4 x-3 y=9$ intersects the $y$-axis at $(0,-3)$. \Commonly Made Mistake - Whenever a line intersects $y$-axis, the point of intersection is taken as $(0, y)$ and not $(y, 0)$.