# How do you graph y=7  by plotting points?

May 29, 2017

It's a line parallel to the $x$ axis passing through $7$ on the $y$ axis.

#### Explanation:

There are other ways to understand graphing.
For this question, you should look at a graph as a set of points that satisfy a certain condition.
For example, the graph $y = x$ is a set of all points whose $x$ component is equal to its $y$ component. In mathematics, this is called a set. We notate the set of all points who satisfy $y = x$ as follows:
$P = \left\{\left(x , y\right) | y = x\right\}$

Anyways, back to your original question, we can rewrite the equation as:
$P = \left\{\left(x , y\right) | y = 7\right\}$
Which is essentially a set of all points who has a $y$ component of $7$. Notice how the $x$ value does not matter.

It's a line parallel to the $x$ axis passing through $7$ on the $y$ axis.