We are given the equation:

$$\begin{aligned} y&=-\frac{3}{2}x+3 \end{aligned}$$

This equation is an example of a linear equation. Note that the graph of a linear equation is a straight line, and thus the only possible match is the graph in picture $(b)$.

In this exercise, we need to match the equation $y=-\frac{3}{2}x+3$ with one of the given graphs.

What does the form of the equation tell us about the shape of the graph?