91Ó°ÊÓ

Linear two variable inequality is y ≤ −3x.

1) First change the inequality sign to equal and draw the boundary line.

If given inequality notation is > or < then draw the boundary line is dashed.

2) Choose a test point that is not on the boundary line and check test point is the solution to the given inequality or not.

3) Shade one side of the boundary line.

If the test point is a solution to the given inequality then shade the part including the test point.

If the test point is not the solution to the inequality then shade the opposite part.

We have,

y ≤ −3x

Rewriting it into the equation to form,

y = −3x

Inequality contains less than equal notation so the boundary line is solid.

The line divides the graph into two parts one is y < −3x and the other is y > −3x

But our inequality is less than equal to type.

So just draw the part below the line.

So the graph of the y ≤ −3x is,

Hence, graph of the two variable inequality

y ≤ −3x is,