Answer
The x-intercept is: $\frac{11}{2}$, the y-intercept is: $\frac{11}{7}$.
Work Step by Step
The x-intercept is when $y=0$, thus: $ax+b\cdot y=c\\ax+b\cdot0=c\\ax=c\\x=\frac{c}{a}$.
The y-intercept is when $x=0$, thus: $ax+b\cdot y=c\\a\cdot0+by=c\\by=c\\y=\frac{c}{b}$.
Hence here: the x-intercept is $\frac{11}{2}$, and the y-intercept is $\frac{11}{7}$.