Answer
$4$
Work Step by Step
The slope-intercept form of a line's equation is given by the formula:
$y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.
Rewrite the given equation into slope-intercept form to obtain:
$4x+3y=12\\
3y = -4x + 12\\
y=\frac{-4x+12}{3}\\
y=-\frac{4}{3}x+4$
The equation above has $b=4$ so its $y$-intercept is $4$.