# How do you find the x and y intercepts of 4y=16?

Feb 1, 2017

See the entire solution process below:

#### Explanation:

First, solve this equation for $y$:

$\frac{4 y}{\textcolor{red}{4}} = \frac{16}{\textcolor{red}{4}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} y}{\cancel{\textcolor{red}{4}}} = 4$

$y = 4$

Because there is no $x$ term we know this is a horizontal line where for every value of $x$ $y$ is equal to $4$.

Therefore, the y-intercept is $4$ or $\left(0 , 4\right)$

Also, because this is a horizontal line there is no x-intercept.