# What is the y-intercept for the equation 4x- 3y= -18?

Jul 25, 2018

The $y$-intercept is at $\left(0 , 6\right)$.

#### Explanation:

$4 x - 3 y = - 18$

To find the $y$-intercept, plug in $0$ for $x$ and solve for $y$:
$4 \left(0\right) - 3 y = - 18$

$0 - 3 y = - 18$

$- 3 y = - 18$

Divide both sides by $\textcolor{b l u e}{- 3}$:
$\frac{- 3 y}{\textcolor{b l u e}{- 3}} = \frac{- 18}{\textcolor{b l u e}{- 3}}$

$y = 6$

Therefore, the $y$-intercept is at $\left(0 , 6\right)$.

Hope this helps!