The video tutorial explains how to graph linear inequalities, highlighting their similarities to linear equations. It focuses on using the slope-intercept form for graphing, detailing the steps to identify the slope and y-intercept, and how to plot them. The tutorial also covers the importance of boundary lines, explaining when they should be dashed or solid, and how to determine shading using test points. The method of choosing test points, particularly the origin, is discussed to verify which side of the boundary line should be shaded, ensuring a comprehensive understanding of graphing linear inequalities.

What is the main difference between graphing linear equations and linear inequalities?

• Linear inequalities use a different coordinate system.

• Linear inequalities require a different method for finding the slope.

• Linear inequalities do not use the y-intercept.

• Linear inequalities involve shading regions of the graph.

When graphing a linear inequality in slope-intercept form, what is the first step?

• Shade the graph.

• Plot the y-intercept on the graph.

• Identify the x-intercept.

• Calculate the slope.

How do you determine the next point on the graph after plotting the y-intercept?

• By using the x-intercept.

• By using the slope to find the rise over run.

• By guessing the next point.

• By drawing a horizontal line.

What type of line is used for inequalities that are 'less than' or 'greater than'?

• A bold line.

• A dotted line.

• A dashed line.

• A solid line.

Which test point is commonly used to determine the shading of a graph?

• (2,2)

• (1,1)

• (0,0)

• (-1,-1)