Answer
The statement is true.
Work Step by Step
To determine if the statement is true or false, we first want to rewrite the equation in point-slope form to be able to obtain the slope easily.
We first subtract $3x$ from each side to get:
$$2y = -3x + 5$$
To isolate $y$, we divide each side by $2$:
$$y = -\frac{3}{2}x + \frac{5}{2}$$
The slope-intercept form is $y = mx + b$, where $m$ is the value of the slope.
In the equation we just derived, the slope is $-\frac{3}{2}$. Therefore, the statement is true.
