What is the equation of the line which intercepts x-axis and y-axis at $$\frac{3}{4}$$ and $$ - \frac{2}{3}$$ respectively?

Solution (By Examveda Team)

Equation of line which intercepts x-axis and y-axis are given below:-
$$\eqalign{ & \Rightarrow \frac{x}{a} + \frac{y}{b} = 1 \cr & {\text{where, }}a = \frac{3}{4},\,b = \frac{{ - 2}}{3}\,\,\left[ {{\text{given}}} \right] \cr & \Rightarrow \frac{x}{{\frac{3}{4}}} + \frac{y}{{\frac{{ - 2}}{3}}} = 1 \cr & \Rightarrow \frac{{4x}}{3} - \frac{{3y}}{2} = 1 \cr & \Rightarrow 8x - 9y = 6 \cr} $$