The slope-intercept form of a line is:
[tex]y=mx+b[/tex]
Here, m represents the slope and b is the y-intercept.
Back in the step of the question where we were isolating y, we have:
[tex]2y=-3x+12[/tex]
Divide both sides of the equation by 2:
[tex]y=-\frac{3}{2}x+6[/tex]
Here, we compare the coefficient of x and the independent term with the slope-intercept form and identify:
slope = -3/2
y-intercept = 6
