Question

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

Answer 1

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, `36x` is with `8y`, so bring over `36x` to the other side, in doing so, it becomes a negative.

Now you have

`8y = 64 - 36x`

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

Now you have

`y = 8 - 4.5x`

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 `(x,y)` coordinate.

Example,

`x = -2`

`y = 8 - 4(-2)`

`y = 16`

Now your coordinates are `(-2, 16)`, then keep doing that until you finish your line.

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