Answer
Choice B
Work Step by Step
The given equation, $
4x+3y=12
,$ is equivalent to
\begin{array}{l}\require{cancel}
3y=-4x+12
\\\\
y=-\dfrac{4}{3}x+\dfrac{12}{3}
\\\\
y=-\dfrac{4}{3}x+4
.\end{array}
Using $y=mx+b$ where $b$ is the $y-$intercept, the equation above has a $y-$intercept of $
4
.$ Hence, its graph is that of $\text{
Choice B
.}$