# How do you graph the line x/y = 6?

Jun 28, 2017

See below

#### Explanation:

Let's multiply both sides of the equation by $y$.

$x = 6 y$

Now, let's solve for $y$ by dividing both sides of the equation by $6$.

$y = \frac{x}{6}$

To graph the line you can choose a few values for $x$ and compute $y$ and then plot the ordered pairs.

Another way is to find the x-intercept, set $y = 0$, and the y-intercept, set $x = 0$.

If we do this, you can see that the y-intercept is:

$y = \frac{0}{6} = 0$

$\left(0 , 0\right)$ which is the origin.

The x-intercept is:

$0 = \frac{x}{6}$

$\left(0 , 0\right)$ the origin once again, which shouldn't be surprising.

The graph looks like:

graph{x/y=6 [-10, 10, -5, 5]}