Answer
$C=12$
Work Step by Step
The x-intercept of a linear equation can be found by setting $y=0$ then solving for $x$.
Set $y=0$ then solve for $x$ to obtain:
$3x+C=5y
\\3x+C=5(0)
\\3x+C=0
\\3x=0-C
\\3x=-C
\\\frac{3x}{3}=-\frac{C}{3}
\\x =-\frac{C}{3}$
The x-intercept is given to be $(-4, 0)$.
This means that: $-\frac{C}{3}=-4$
Solve the equation to obtain:
$-\frac{C}{3}=-4
\\-3 \cdot (\frac{-C}{3}=-3(-4)
\\C=12$
