Answer
a)
The $x$-intercept is $2$.
The $y$-intercept is $3$.
b) See the graph below.
Work Step by Step
a)
In order to find the $x$-intercept, let $y=0$ and we have to solve the equation.
$\frac{1}{2}x+\frac{1}{3}y=1$
$\frac{1}{2}x+\frac{1}{3}(0)=1$
$\frac{1}{2}x=1$
$x=2$
The $x$-intercept is $3.6$ and the point $(2,0)$ is on the line.
In order to find the $y$-intercept, let $x=0$ and we have to solve the equation.
$\frac{1}{2}x+\frac{1}{3}y=1$
$\frac{1}{2}(0)+\frac{1}{3}y=1$
$\frac{1}{3}y=1$
$y=3$
The $y$-intercept is $3$ and the point $(0,3)$ is on the line.
b) In order to sketch the line, we only have to plot the intercepts and connect them using a line.
