A. we solve for y and then we will identify the slope and y-intercept:
[tex]3x-2y=12\Rightarrow-2y=-3x+12\Rightarrow y=\frac{3}{2}x-6[/tex]From this, we can see that the slope(m) equals 3/2 and the y-intercept equals -6.
B. We write a function using the slope(m) and the y-intercept as follows:
[tex]y=-3x-6[/tex]