Answer
$C=-24$
Work Step by Step
The y-intercept of a linear equation can be found by setting $x=0$ then solving for $y$.
Set $x=0$ then solve for $y$ to obtain:
$4x=C-3y
\\4(0)=C-3y
\\0=C-3y
\\3y=C
\\\frac{3y}{3}=\frac{C}{3}
\\y =\frac{C}{3}$
The y-intercept is given to be $(0, -8)$.
This means that: $\frac{C}{3}=-8$
Solve the equation to obtain:
$\frac{C}{3}=-8
\\3 \cdot (\frac{C}{3})=3(-8)
\\C=-24$
