# How do you graph 36x + 8y = 64?

Jun 18, 2017

You need to isolate for $y$.

#### Explanation:

You first make sure that $y$ is isolated, in order to do so, you divide everything by $8$, or in other cases, the number in front of $y$.

HOW?

Make sure that $8$y is by itself and there's no other numbers beside it, In your case, $36 x$ is with $8 y$, so bring over $36 x$ to the other side, in doing so, it becomes a negative.

Now you have

$8 y = 64 - 36 x$

To isolate $y$, you must factor, divide everything by $8$ to get $y$ by itself.

Now you have

$y = 8 - 4.5 x$

Now to graph it, you can just put it in a table of values.
Have 2 columns, one $x$, one $y$, then make $x$ whatever you like.

NOTE: It's recommended for $x$ to be $- 2 , - 1 , 0 , 1 , 2$

Now just plug each $x$ into the equation and that will be your $\left(x , y\right)$ coordinate.

Example,

$x = - 2$

$y = 8 - 4 \left(- 2\right)$

$y = 16$

Now your coordinates are $\left(- 2 , 16\right)$, then keep doing that until you finish your line.

graph{36x + 8y = 64 [-10, 10, -5, 5]}