Graphing Inequalities Mastery

Mrs. Hernandez explains how to graph inequalities, emphasizing the similarities to graphing lines. She covers the importance of the slope and y-intercept, the difference between solid and dashed lines, and how to determine shading regions. The video includes examples and methods for testing points to ensure correct shading, providing a comprehensive guide to graphing inequalities.

What is the initial step in graphing an inequality similar to graphing a line?

• Testing a point

• Shading above the line

• Drawing a dashed line

• Plotting the y-intercept

What does a solid line in an inequality graph represent?

• No points on the line are solutions

• The inequality includes the line itself

• The inequality does not include the line

• Only integer points are solutions

What does a dashed line indicate in an inequality graph?

• No shading is required

• Any point is a solution

• The line is part of the solution

• The line is not part of the solution

How do you determine the correct area to shade for an inequality?

• Shade inside the graph

• Shade where the test point is false

• Shade based on the inequality symbol

• Shade randomly

What is the purpose of using a test point in graphing inequalities?

• To decide the type of line to draw

• To calculate the y-intercept

• To find the slope

• To determine the correct shading area

If the test point makes the inequality true, where should you shade?

• On the opposite side of the test point

• Where the test point is located

• Only above the line

• Only below the line

In the context of inequalities, what does 'y is greater than' indicate about shading?

• Shade on the line only

• No shading needed

• Shade above the line

• Shade below the line

What is the slope of the line if the equation is y = -1/2x - 1?

• 2

• -2

• 1/2

• -1/2

If an inequality has a '<' symbol without a line under it, how should the line be drawn?

• Solid line

• Dashed line

• Thick solid line

• No line

Where should you shade if the inequality is 'y < -1/2x - 1' and the test point (0,0) is false?

• On the line

• Above the line

• No shading

• Below the line