You can
put this solution on YOUR website!third equation is x + 6y >= -9
subtract x from both sides of this equation to get:
6y >= -x - 9
divide both sides of this equation by 6 to get:
y = (-1/6)x - (9/6)
graph the equation of y = -(1/6)x - (9/6)
the shaded area will be everything above or equal to that line.
any value of y above or on that line will be valid.
the graph will look like this:
your slope should have been -(1/6), and not -(9/6).
you solve your fourth equation in a similar manner.
your fourth equation is 3x-2y >= -7.
subtract 3x from both sides of this equation to get:
-2y >= -3x - 7
multiply both sides of this equation by (-1) to get:
2y <= 3x + 7
note that multiplying both sides of an inequality reverses the inequality.
if 5 > 3, then -5 < -3 for example.
your equation is now:
2y <= 3x + 7
divide both sides of this equation by 2 to get:
y <= (3/2)*x + (7/2)
graph the equation of y = (3/2)*x + (7/2)
your shaded area will be everything below or on that line.
any value of y below or on that line will be valid.
a graph of that equation looks like this:
