Graphing an inequality with vertical and horizontal lines

The video tutorial covers graphing equations and inequalities, focusing on vertical and horizontal lines. It explains how to use test points to determine the truth of inequalities and how to identify the feasible region where solutions overlap. The tutorial emphasizes the importance of labeling intercepts and equations to avoid confusion and ensure accurate graphing.

What is the first step in graphing an equation?

• Identify the slope

• Find the midpoint

• Determine the intercepts

• Set up a table of values

When graphing a vertical line, what remains constant?

• Intercept

• Slope

• X-coordinate

• Y-coordinate

How do you determine if a boundary line is solid or dashed?

• By the intercepts

• By checking the slope

• By using test points

• By the inequality sign

What does a solid line in an inequality graph indicate?

• The inequality is strict

• The inequality includes the boundary

• The line is horizontal

• The line is vertical

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

• To calculate the midpoint

• To check if a region satisfies the inequality

• To determine the intercepts

• To find the slope

What is the feasible region in a graph of inequalities?

• The area where all inequalities are true

• The area where no inequalities are true

• The intersection of the axes

• The boundary lines

Why is it important to label intercepts and equations when graphing?

• To find the midpoint

• To make the graph colorful

• To prevent mixing up equations

• To calculate the slope