Graphing Linear Inequalities in Two Variables

The video tutorial covers graphing linear inequalities in two variables. It explains the concept of linear inequalities, their solution sets, and how to graph them. The tutorial demonstrates using test points to determine solution areas and provides examples of graphing techniques. It also guides on writing inequalities from given graphs, emphasizing the importance of boundary lines and shading in solution areas.

What is the form of a linear inequality in two variables?

• ax + by = c

• ax + by < c

• ax + by ≤ c

• ax + by ≠ c

Why can't both coefficients a and b be zero in a linear inequality?

• It would result in a true or false statement without variables.

• It would result in a quadratic equation.

• It would result in a system of equations.

• It would result in an undefined equation.

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CCSS.HSA.REI.D.12

What does the solution set of a linear inequality represent?

• A region that defines half of a plane

• A line on the plane

• A single point on the plane

• A three-dimensional space

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CCSS.HSA.REI.D.12

How do you determine which half-plane to shade for a linear inequality?

• By using the x-intercept

• By checking the slope of the line

• By using a test point

• By checking the y-intercept

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CCSS.HSA.REI.D.12

What type of boundary line is used for the inequality y > mx + b?

• Thick line

• Dotted line

• Dashed line

• Solid line

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CCSS.HSA.REI.D.12

If the inequality symbol is ≤, what type of boundary line should be used?

• Dotted line

• Dashed line

• Solid line

• Thick line

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CCSS.HSA.REI.D.12

What is the first step in graphing a linear inequality?

• Choose a test point

• Solve for y

• Graph the boundary line

• Shade the solution area

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CCSS.HSA.REI.D.12

When graphing the inequality y < 2x + 3, which point would you use as a test point?

• (1, 1)

• (2, 2)

• (3, 3)

• (0, 0)

How do you identify the slope from a graph?

• By checking the x-intercept

• By using a test point

• By calculating the rise over run

• By finding the y-intercept

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What should you do after identifying the y-intercept and slope to write the inequality?

• All of the above

• Check if the line is dashed or solid

• Choose a test point in the shaded area

• Graph the boundary line

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CCSS.HSA.REI.D.12