Question

If 2a + 3b + 4c = 0, then the straight lines ax + by + c = 0 will always pass through the point ___________.

Answer 1

$$\begin{gathered} \mathrm{If}2a+3b+4c=0 \\ \mathrm{i}.\mathrm{e}.\frac{2a}{4}+\frac{3b}{4}+c=0 \\ \mathrm{i}.\mathrm{e}.x=\frac{1}{2}\mathrm{and}y=\frac{3}{4} \\ \therefore ax+by+c\mathrm{will}\mathrm{always}\mathrm{pass}\mathrm{through}\left(\frac{1}{2},\frac{3}{4}\right) \end{gathered}$$