Question 31665: How do you graph linear inequalities with two variables? (x and y)
Answer by benni1013(206)   (Show Source):
You can put this solution on YOUR website! Ex. 4x+3y<12
First: Set the equation to the form y=mx+b.
Note: Don't worry about the sign until toward the end.
4x+3y=12==>3y=12-4x==>y=12-4/3(x)==>y=-4/3(x)+12
Second: Plot the y-intercept
The y-intercept is the last number (12).
Third: Graph a second point
Your -4/3 is your slope. Since slope is y/x go down 4 and right 3.
Now we can refer back to the inequality sign in the problem. Four signs occur commonly: less than, greater than, less than or equal to, greater than or equal to
A dashed line or solid line will go through the points and filled either to the left or right.
Less than: dashed, left
Greater than: dashed, right
Less than or equal to: solid, left
Greater than or equal to: solid, right
In your case, dashed and to the left.
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