Graph y>=-3x

Problem

y≥−3*x

Solution

1. Identify the boundary line by replacing the inequality symbol with an equals sign, which gives the linear equation y=−3*x

2. Plot the boundary line by finding two points, such as (0,0) and (1,−3) and drawing a solid line through them because the inequality includes "or equal to" (≥.

3. Determine the shading region by testing a point not on the line, such as (1,1)

4. Substitute the test point (1,1) into the inequality: 1≥−3*(1) which simplifies to 1≥−3

5. Shade the region containing the test point because the statement 1≥−3 is true; therefore, shade the area above and to the right of the line y=−3*x

Final Answer

y≥−3*x

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