We have to identify the graph that represents a line that has a slope of m = -3/2 and a y-intercept of b = 3.
In the graph, the line will intercept the y-axis at y = 3.
We can calculate the x-intercept, that correspond to y = 0, as:
[tex]\begin{gathered} y=-\frac{3}{2}x+3 \\ \\ 0=-\frac{3}{2}x+3 \\ \\ \frac{3}{2}x=3 \\ \\ x=3\cdot\frac{2}{3} \\ \\ x=2 \end{gathered}[/tex]
We then have the x-intercept at x = 2.
Then, we have to find the graph that intercepts the y-axis at y = 3 and the x-axis at x = 2:
