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Question

Solve the two linear inequalities graphically

 

y≤6x+9

y>−2x−3

Answer 1

First, graph both equations on the same coordinate system.

 

(1)   y=6x+9

(2)   y=-2x-3

 

 

For the first equation, plot the points (0, 9) and (1, 15).  Then connect them in a straight line throughout the coordinate system.

 

For the second equation, plot the points (0, -3) and (1, -5).  Then connect them in a straight line throughout the coordinate system.

 

 

Shade the region below and on the line   y=6x+9     , and shade the region above the line   y=-2x-3.  The overlapping shaded region is the solution to the system of inequalities.