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.