## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$C=-24$
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: $\frac{C}{3}=-8 \\3 \cdot (\frac{C}{3})=3(-8) \\C=-24$