Question

How do you graph `y=4x+4` using rise over run?

Answer 1

The "rise over run" method is used for the slope, and you start at the `c`-value.

Explanation:

This function is linear. This means that the graph will be a straight line.

The rise and run method is only valid for the slope.

The slope is the term with the variable, in this case, `4x`.

Rise and run is also useful for slopes with a fraction, with the numerator being the "rise" and the denominator being the "run". All whole numbers are a fraction with the denominator being `1`.

Therefore, in this case, the rise is by `4`, and the run is by `1` to the right.

Where we start is the `c`-value. In this case, it is `4`.

From `4` on the `y`-axis, count up `4 and 1` to the right. Mark the point. Repeat this a few times until you have a line of points and join them.

Put all this together and we get a graph looking like this:

graph{y=4x+4 [-10, 10, -5, 5]}

Hope this helps :)