# How do you graph y = x + 3?

Apr 16, 2017

See below

#### Explanation:

The graph is already in the form $y = m x + b$ where $m$ is the slope and $b$ is the y-intercept.

In this case, our y-intercept is $3$ and our slope is the imaginary $1$ that's in front of $x$.

So you make a point at $\left(0 , 3\right)$. Then, using the slope, we can see that adding $1$ to $x$ would do the same to $y$ and subtracting $1$ from $x$ would subtract $1$ to $y$. So a couple of other points would be $\left(1 , 4\right)$, $\left(2 , 5\right)$, and if we're going down, $\left(- 1 , 2\right)$. Now we can just connect the dots:

graph{y=x+3 [-10, 10, -5, 5]}