Graph y+5x>0

Problem

y+5*x>0

Solution

1. Isolate the variable y to rewrite the inequality in slope-intercept form.

y>−5*x

2. Identify the boundary line by replacing the inequality symbol with an equal sign.

y=−5*x

3. Determine the line style based on the inequality symbol. Since the symbol is > the boundary line is dashed because the points on the line are not included in the solution set.

4. Find the slope and intercept of the boundary line. The slope is m=−5 and the yintercept is (0,0)

5. Test a point not on the line, such as (1,1) to determine which side to shade.

1+5*(1)>0

6>0

6. Shade the region that makes the inequality true. Since 6>0 is a true statement, shade the region containing the point (1,1) which is the area above the dashed line.

Final Answer

y>−5*x

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