Linear Functions

A function f is a linear function if it can be written as f(x) = mx + b, where m and b are constants.

If m = 0, the function is a constant function f(x) = b.

If m = 1 and b = 0, the function is the identity function f(x) = x.

If m = 0, the function is a constant function f(x) = b.

If m = 1 and b = 0, the function is the identity function f(x) = x.

Slope

The slope m of a line containing the points (x1, y1) and (x2, y2) is given by

m=rise/run

=the change in y/the change in x

=y-y/x-x

m=rise/run

=the change in y/the change in x

=y-y/x-x