#### Answer

There is no axis or origin symmetry.
y-intercept: $(0,-3)$
x-intercept: $(1.5,0)$
Graph:

#### Work Step by Step

(a) To test for x-axis symmetry, replace $y$ with $-y$
(b) To test for y-axis symmetry, replace $x$ with $-x$
(c) To test for origin symmetry, replace x with $-x$ and y with $-y$
and see if you obtain the same equation.
(a)
$-y=2x+3$ ... is not the same equation.
(b)
$y=2(-x)+3$
$y=-2x+3$ ... is not the same equation.
(c)
$-y=2(-x)+3$
$-y=-2x+3$
$y=2x-3 $ ... is not the same equation.
There is no axis or origin symmetry.
Intercepts: $\left[\begin{array}{ll}
\text{y-intercept} & \text{x-intercept}\\
x=0 & y=0\\
y=0-3 & 0=2x-3\\
y=-3 & 3=2x\\
(0,-3) & x=3/2\\
& (1.5,0)
\end{array}\right]$
The equation is linear.
Plot the intercepts and draw a line through them.