The length of the intercept of the graph of the equation 9x - 12y = 108 between the two axes is-

Solution (By Examveda Team)

$$\eqalign{ & 9x - 12y = 108 \cr & \Rightarrow \frac{{9x}}{{108}} - \frac{{12y}}{{108}} = 1 \cr & \Rightarrow \frac{x}{{12}} - \frac{y}{9} = 1 \cr} $$

$$\eqalign{ & {\text{Length of Intercept}} = \sqrt {{{12}^2} + {9^2}} \cr & = \sqrt {144 + 81} \cr & = \sqrt {225} \cr & = 15{\text{ units}} \cr} $$