Graphing a system of two inequalities in slope intercept form

The video tutorial explains how to solve systems of inequalities by graphing. It covers converting inequalities to equations, graphing each inequality separately, and determining the shading regions using test points. The tutorial emphasizes the importance of dashed lines for inequalities that are not inclusive and demonstrates the process of plotting y-intercepts and slopes. Finally, it shows how to identify the solution region where both inequalities are true.

What is the first step in solving systems of inequalities by graphing?

• Use a test point

• Shade the solution region

• Find the intersection point

• Convert inequalities to equations

When graphing inequalities, why are dashed lines used?

• To highlight the intersection point

• To indicate the line is part of the solution

• To show the line is not part of the solution

• To represent a solid boundary

How do you determine which side of the boundary line to shade?

• By using a test point

• By finding the intersection

• By checking the y-intercept

• By using the slope

What is the best test point to use when determining shading for inequalities?

• (2,2)

• (-1,-1)

• (0,0)

• (1,1)

What does it mean if a test point results in a false inequality?

• The point is the intersection

• The point is not part of the solution

• The point is part of the solution

• The point is on the boundary line