Question 555060
3x - 2y < -6 
Put the equation in the point/slope format
-2y < -3x - 6
Get rid all those negatives, mult by -1, this reverses the inequality sign
2y > 3x + 6
divide both sides by 2
y > {{{3/2}}}x + {{{6/2}}}
y > 1.5x + 3, this is the equation we want to graph
:
Graph this for x=-3 and x=+3
y = 1.5(-3) + 3
y = -4.5 + 3
y = -1.5
and
y = 1.5(3) + 3
y = 4.5 + 3
y = 7.5
:
We graph points -3,-1.5 and 3,7.5
{{{ graph( 300, 200, -6, 5, -10, 10, 1.5x+3) }}}
You want to shade the area above the line