Answer
x-intercept: $(0, 0)$
y-intercept: $(0, 0)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$x+2y=0
\\x+2(0)=0
\\x+0=0
\\x=0$
Thus, the x-intercept is $(0, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$x+2y=0
\\0+2y=0
\\2y=0
\\\frac{2y}{2}=\frac{0}{2}
\\y=0$
Thus, the y-intercept is $(0, 0)$.
Since the x and y-intercepts are the same, one more point is needed to graph the line.
Let $x=2$ then solve for $y$:
$x+2y=0
\\2+2y=0
\\2y=-2
\\\frac{2y}{2}=\frac{-2}{2}
\\y=-1$
The point is $(2, -1)$.
Plot the intercept $(0, 0)$ and the point $(2, -1)$ on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.
