Please write y= 4/3x - 3 as y= (4/3)x - 3 for greater clarity.
Comparing this y= (4/3)x - 3 to y = mx + b, we see that m = 4/3 and b = -3.
Your second post, 14x + 4y + 24, is not an equation. Please fix it. After you've done that, solve your equation for y and identify the slope (m) and the y-intercept (b) in the same way.