The area of triangular region formed by $3x+2y=6$  with co-ordinate axes is

$\Rightarrow \frac{x}{2}+\frac{y}{3}=1$

Area of triangle formed by the line

$\frac{x}{a}+\frac{y}{b}=1$  with the coordinate axes is $\frac{1}{2}\left|ab\right|$  squints

$=\frac{1}{2}\left|2\times 3\right|=3$  sq. units