Answer
The slope is $\frac{3}{2}$.
The $y$-intercept is $0$.
Refer to the graph below.
Work Step by Step
The slope of the line can be obtained by looking at the coefficient of $x$ in the slope-intercept form.
Isolate $y$ to obtain:
$2y-3x=0$
$2y=3x$
$y=\frac{3}{2}x$
Thus, the slope is $\frac{3}{2}$.
By definition, the $y$-intercept is the constant in the slope-intercept form of the equation.
For $y=\frac{3}{2}x$, the constant is $0$, therefore the $y$-intercept is $0$.
Plot the point $(0, 0)$.
Then using the slope, which is $\frac{3}{2}$, move $2$ units to the right and $3$ units up to reach $(2, 3)$.
Connect the two points using a straight line to complete the graph.
Refer to the graph above.
