Answer
Refer to the graph below.
Work Step by Step
Solve for $y$.
Subtract $3x$ to both sides:
$3x-5y-3x=0-3x
\\-5y=-3x$
Divide $-5$ to both sides:
$\frac{-5y}{-5}=\frac{-3x}{-5}
\\y=\frac{3}{5}x$
Thus, the given equation is equivalent to $y=\frac{3}{5}x$.
To graph the equation, perform the following steps:
(1) Create a table of values by assigning convenient values to $x$, then solve for the corresponding value of $y$ for each value of $x$.
(refer to the attached image below for the table)
(2) Plot each point (or ordered pair) on the same coordinate plane, then connect the points using a straight line.
(refer to the attached image in the answer part above for the final graph)
