We start our investigation regarding the geometrical representation of 2-var linear constraints by considering first constraints of the equality type, i.e.,

It is a well-known result that, assuming , this equation
corresponds to a *straight line* with *slope* and *intercept* . In the
special case where , the solution space (*locus*) of
Equation 9 is still a straight line perpendicular to the
-axis, intersecting it at the point . Notice
that the presence of an equality constraint restricts the
dimensionality of the feasible solution space by one degree of
freedom, i.e., it turns it from a planar area to a line segment.

Fri Jun 20 15:03:05 CDT 1997