Answer
Refer to the graph below.
Work Step by Step
Solve for $x$.
$4x+5=3
\\4x=3-5
\\4x=-2
\\\frac{4x}{4}=\frac{-2}{4}
\\x=-\frac{1}{2}$
This means the given equation is equivalent to and has the same graph as $x=-\frac{1}{2}$.
RECALL
The graph of $x=h, h\ne0$ is a vertical line whose x-intercept is $(h, 0)$.
All points on this line have an x-coordinate of $h$.
Thus, the line $x=-\frac{1}{2}$ is vertical with an x-intercept of $(-\frac{1}{2}, 0)$. Since all points on this line have an x-coordinate of $-\frac{1}{2}$, then the following points are on the line:
$(-\frac{1}{2}, 2)$, $(-\frac{1}{2}, 0)$, and $(-\frac{1}{2}, -2)$
Plot these three points then connect them using a line.
(Refer to the answer part above for the graph.)