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