# How do you graph y = 3x + 3?

Remember, $y = m x + c$.

#### Explanation:

The above formula is explained as such:
$y$ is the $y$-value (duh).
$m$ is the gradient, which is the rate at which your graph "climbs" the graph paper.
$x$ is the $x$-value (also duh).
$c$ is the $y$-intercept, which is the point where your graph crosses the $y$-axis.

So, how does one read the formula? It helps you find $y$, by substituting in any value of $x$ into $x$ in the formula.
For example, $y = 6$ when $x = 1$ (because $6 = 3 \cdot 3 + 3$).

My suggestion to graphing $y = 3 x + 3$ is to find a whole bunch of values of $x$ and $y$ values, plotting them onto graph paper and then drawing a straight line through them.
If you applied the formula correctly, all the points will miraculously line up in a straight line!

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

By applying the formula:
$y = m x + c$
$y = 3 x + 3$

It was mentioned above that $c$ is where the graph crosses the $y$-axis. The $c$-value in $y = 3 x + 3$ is 3, therefore you can see that the graph crosses the $y$-axis at 3.
If your drawn graph doesn't follow this explanation - seek teacher help immediately!

I hope this explanation helps :D