Graph x+2y>=-2

Problem

x+2*y≥−2

Solution

1. Convert to slope-intercept form to find the boundary line by isolating y

x+2*y=−2

2*y=−x−2

y=−1/2*x−1

2. Identify the boundary line as a solid line because the inequality includes "or equal to" (≥. The line has a yintercept at (0,−1) and a slope of −1/2

3. Determine the shading region by using a test point such as (0,0)

0+2*(0)≥−2

0≥−2

4. Interpret the result of the test point. Since 0≥−2 is a true statement, the region containing the point (0,0) (the area above the line) is shaded.

Final Answer

x+2*y≥−2⇒y≥−1/2*x−1

Want more problems? Check here!