Varied Slopes and Intercepts

Discover what happens to the graph when you vary the values for m and b in the equation y = mx + b.


The equation of a line can be written in the form y = mx + b, where m and b are real numbers.

Plug in different values for m, keeping b fixed.
Make sure to use positive and negative values as well as fractional values, such as

How does changing m affect the graph of the line?

Now plug in different values for b, keeping m fixed.
What does changing b do to the graph of the line?