Question

How do you graph `x+4y=12` by plotting points?

Answer 1

One way is to find `x` and `y`-intercepts. Then connect the two points to form your graph.

Explanation:

I noticed that the equation is linear (a degree of `1` on variable), therefore, graphing would be easy.

What we can do is to sub each variable as `0` and solve for the other.

This will give us the `x` and `y`-intercepts.

First, the `x`-intercept:

`x+4y=12`

`x+4(0)=12`

`x=12`

Therefore, the `x`-intercept is `(12, 0)`.

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Now the `y`-intercept -

`x+4y=12`

`(0)+4y=12`

`4y=12`

Now we can isolate `y`.

`(4y)/4=12/4`

`y=3`

Therefore, the `y`-intercept is `(0, 3)`.

Now that we have two points, we can just connect the two with a straight line and we have our graph.

graph{x+4y=12 [-10, 10, -5, 5]}

Hope this helps :)