Answer
Refer to the graph below.
Work Step by Step
Solve for $y$.
Subtract $2x$ to both sides:
$8y+2x-2x=-4-2x
\\8y=-4-2x$
Divide $8$ to both sides:
$\frac{8y}{8}=\frac{-4-2x}{8}
\\y=\frac{-4}{8} -\frac{2x}{8}
\\y=-\frac{1}{2}-\frac{1}{4}x
\\y=-\frac{1}{4}x-\frac{1}{2}$
Thus, the given equation is equivalent to $y=-\frac{1}{4}x-\frac{1}{2}$.
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)
