graph the linear inequality: y>3x+2

Question

^{graph the linear inequality: y>3x+2}

Answer 1

Begin by graphing the line y=3x+2.  The simplest way to do this is to find two points on your graph that are on the line.  Set x=0, and you have y = 3*0+2 =2, so the point (0,2) is on the line.  Set x=1 and you have y=3*1+2 = 5, so the point (1,5) is also on the line.  Draw a line through these two points.  Make sure you draw the line in pencil, as a strict inequality means the line itself is not a part of the inequality.  To graph the inequality you need only shade in the area above the line you just drew through the points.