Question

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

Answer 1

Remember, `y=mx+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*3+3`).

My suggestion to graphing `y=3x+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=mx+c`
`y=3x+3`

It was mentioned above that `c` is where the graph crosses the `y`-axis. The `c`-value in `y=3x+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