Question

How do you graph `y = 2` by plotting points?

Answer 1

See a solution process below:

Explanation:

The equation `y = 2` says for any value of `x` the `y` value is `2`.

Therefore, two points on this line are:

`(-2, 2)` and `(2,2 )`

We can first plot these points:

graph{((x+2)^2+(y-2)^2-0.04)((x-2)^2+(y-2)^2-0.04)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y-2+0.000001x)((x+2)^2+(y-2)^2-0.04)((x-2)^2+(y-2)^2-0.04)=0 [-10, 10, -5, 5]}

Answer 2

See below:

Explanation:

When we have an equation of the form

`y=c`, we know we are dealing with a horizontal line. No matter what `x` is, `y` will always be `2`.

Our graph, on the `y`-axis, will always be equal to `2`.

graph{y=0x+2 [-10, 10, -5, 5]}

Hope this helps!