*f*(

*x*) =

*mx*+

*c*where

*m*is the slope of the graph and

*c*is the

*y*-intercept.

Slide the values of

*m*and

*c*to observe the changes of graph

*f*(

*x*) =

*mx*+

*c*. You may realize that for

*m*> 0, the graph is increasing;

*m*= 0, the graph is constant;

*m*< 0, the graph is decreasing;

while for

*c*> 0, the graph has positive

*y*-intercept;

*c*= 0, the graph passes through the origin;

*c*< 0, the graph has negative

*y*-intercept.

Betty, Created with GeoGebra

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