Answer
$ a.\quad$Intercepts: $(2,0)$ , $(0,3)$
$b.$
Work Step by Step
$\begin{array}{ll}
\text{x-intercept} & \text{y-intercept}\\
(y=0) & (x=0)\\
& \\
\frac{1}{2}x+\frac{1}{3}(0)=1 & \frac{1}{2}(0)+\frac{1}{3}y=1\\
\frac{1}{2}x=1 & \frac{1}{3}y=1\\
x=2 & y=3\\
& \\
(2,0) & (0,3)
\end{array}$
Draw a line through the two points.