Answer
Refer to the image below for the graph.
Work Step by Step
(1) Solve for the $x$ and $y$ intercepts.
To find the x-intercept, set $y=0$ and then solve for $x$:
$\\5x=3y-15
\\5x = 3(0) - 15
\\5x = -15
\\x =\frac{-15}{5}
\\x=-3$
This means that the x-intercept is at $(-3,0)$.
To find the y-intercept, set x=0 and then solve for $y$:
$5x=3y-15
\\5(0)=3y-15
\\0=3y-15
\\15=3y
\\\frac{15}{3}=y
\\5=y$
This means that the y-intercept is at $(0,5)$.
(2) Plot the intercepts and then connect them using a line.
