Step 1 :Convert the given equation into slope-intercept form, which is y = mx + b:
Step 2 :\(4x - 3y = 12\)
Step 3 :\(-3y = -4x + 12\)
Step 4 :\(y = \frac{4}{3}x - 4\)
Step 5 :\(\boxed{y = \frac{4}{3}x - 4}\) is the equation in slope-intercept form, with a slope of \(\frac{4}{3}\) and a y-intercept of -4.