Master How to graph linear inequalities in standard form

The video tutorial explains how to graph linear inequalities, focusing on converting them to slope-intercept form and using test points to determine solution regions. It covers the differences between solid and dashed boundary lines and provides examples to illustrate the process. The tutorial emphasizes the importance of understanding slope and intercepts in graphing and offers advanced techniques for shading solution regions.

What is the first step in graphing a linear inequality in standard form?

• Shade the region above the line

• Draw a solid line

• Find the x-intercept

• Convert it to slope-intercept form

What is the significance of the test point (0,0) in graphing inequalities?

• It helps determine which side of the line to shade

• It is always part of the solution

• It is used to find the slope

• It is used to find the y-intercept

When graphing a linear inequality, what does a dashed line indicate?

• The inequality is non-strict (less than or equal to, greater than or equal to)

• The inequality is strict (less than or greater than)

• The slope is negative

• The line is part of the solution

In the inequality y > 3x - 1, what does the '3' represent?

• The y-intercept

• The x-intercept

• The slope

• The test point

How do you handle the inequality sign when dividing by a negative number?

• Keep the sign the same

• Flip the inequality sign

• Subtract 1 from the inequality

• Add 1 to the inequality

What does shading above the line represent in a graph of y > mx + b?

• All points below the line are solutions

• All points on the line are solutions

• All points above the line are solutions

• No points are solutions

What is the final step in graphing a linear inequality?

• Draw the line

• Shade the appropriate region

• Find the x-intercept

• Convert to standard form