#### Answer

x-intercept = -3
y-intercept = 5
Refer to the image below for the graph.

#### Work Step by Step

Write the equation in $Ax +By=C$ form.
This will make solving for the intercepts a lot easier.
The given equation can be rewritten as:
$\dfrac{1}{3}x-\dfrac{1}{5}y-2=0
\\\dfrac{1}{3}x-\dfrac{1}{5}y-2+2=0+2
\\\dfrac{1}{3}x-\dfrac{1}{5}y=2
\\15\left(\dfrac{1}{3}x-\dfrac{1}{5}y\right)=-1(15)
\\15(\frac{1}{3}x) - 15(\frac{1}{5}y)=-15
\\5x-3y=-15$
To find the $x$ intercept, set $y=0$ then solve for $x$ to obtain:
$5x-3y=-15
\\5x-3(0) = -15
\\5x=-15
\\\dfrac{5x}{5}=\dfrac{-15}{5}
\\x=-3$
The x-intercept is $-3$.
To find the $y$ intercept, set $x=0$ then solve for $y$ to obtain:
$5x-3y=-15
\\5(0)-3y = -15
\\-3y=-15
\\\dfrac{-3y}{-3}=\dfrac{-15}{-3}
\\y=5$
The y-intercept is $5$.
To draw the graph of the equation, plot the x-intercept point $(-3, 0)$ and the y-intercept point $(0, 5)$ and connect them using a straight line.
(refer to the attached image in the answer part above)