Question

How do you graph `y + 4 = -2x` by plotting points?

Answer 1

With functions that have a degree of `1` and are not reciprocal, we can determine that the function is linear. Thus, we can just find the intercepts and connect them with a straight line.

In this case, the intercepts are: `(-2, 0)` and `(0, -4)`.

Explanation:

So, the best way to graph this relation is to find the intercepts and connect them with a straight line.

I know this is a linear equation because the highest degree is `1`. The variables are not in the reciprocal format as well.

Anyways, let's first make an equation for the variables.

We'll start with `x` first.

`y+4=-2x`

`(y+4)/-2=x`

Now let's find the `x`-intercept by subbing in `y=0`.

`(y+4)/-2=x`

`(0+4)/-2=x`

`4/-2=x`

`-2=x`

Thus, the `x`-intercept is `(-2, 0)`.

Now let's make an equation for the `y`.

`y+4=-2x`

`y=-2x-4`

Now let's find the `y`-intercept by subbing in `x=0`.

`y=-2x-4`

`y=-2(0)-4`

`y=-4`

Thus, the `y`-intercept is `(0, -4)`.

All we have to do is connect them with a straight line and we have our graph.

graph{y+4=-2x [-10, 10, -5, 5]}

Hope this helps :)