Master How to graph linear inequalities in slope intercpet form

The video tutorial explains how to graph linear inequalities in slope-intercept form. It covers the basics of slope and Y-intercept, demonstrates using test points to determine solutions, and provides examples of graphing inequalities. Advanced techniques for graphing are also discussed, emphasizing the importance of shading and boundary lines.

What is the first step in graphing a linear inequality in slope-intercept form?

• Find the midpoint of the line

• Rewrite the inequality as an equation

• Identify the x-intercept

• Determine the domain

In the equation y = mx + b, what does 'm' represent?

• The y-intercept

• The midpoint

• The x-intercept

• The slope

What is the significance of the y-intercept in a graph?

• It is the highest point on the graph

• It is where the graph crosses the x-axis

• It is the midpoint of the graph

• It is where the graph crosses the y-axis

How do you determine if a boundary line is part of the solution in a graph?

• By checking the slope

• By finding the midpoint

• By using a test point

• By checking if the line is horizontal

What does a dashed line indicate in a graph of an inequality?

• The line is part of the solution

• The line is not part of the solution

• The line is the y-axis

• The line is the x-axis

When using test points, what should you do if the test point is on the line?

• Choose another test point

• Use the same test point

• Ignore the test point

• Assume the line is part of the solution

What does a solid line represent in the graph of an inequality?

• The line is part of the solution

• The line is the y-axis

• The line is not part of the solution

• The line is the x-axis

How can you determine the shading of a graph without using test points?

• By using the x-intercept

• By finding the midpoint

• By looking at the slope

• By checking the inequality symbol

What does the inequality symbol '>' indicate about the shading of a graph?

• Shade to the right of the line

• Shade to the left of the line

• Shade above the line

• Shade below the line

In the context of graphing inequalities, what does it mean if a test point results in a true statement?

• The point is not part of the solution

• The point is part of the solution

• The line is horizontal

• The line is vertical