Answer
Refer to the graph below.
Work Step by Step
Solve for $y$.
Subtract $6x$ to both sides:
$6x-3y-6x=9-6x
\\-3y=9-6x$
Divide $-3$ to both sides:
$\frac{-3y}{-3}=\frac{9-6x}{-3}
\\y=\frac{9}{-3} -\frac{6x}{-3}
\\y=-3+2x
\\y=2x-3$
Thus, the given equation is equivalent to $y=2x-3$.
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)
