Graphing Systems of Inequalities

What is the first step in graphing the inequality y > 3x + 1?

• Identify the slope

• Find the y-intercept

• Draw a solid line

• Shade the region

Where does the line for the inequality y > 3x + 1 cross the y-axis?

• At 1

• At 0

• At 3

• At -1

What is the slope of the inequality y > 3x + 1?

• 3

• 2

• 1

• 4

Why do we draw a dotted line for the inequality y > 3x + 1?

• Because it is a greater than or less than inequality

• Because it is an equal to inequality

• Because it is a quadratic inequality

• Because it is a cubic inequality

What is the y-intercept for the inequality y < 1/2x - 3?

• -1

• 0

• 1

• -3

What is the slope of the inequality y < 1/2x - 3?

• 1/2

• 2

• 3

• 1

When graphing y < 1/2x - 3, how do you determine the second point after finding the y-intercept?

• Go up 3 and over 1

• Go up 1 and over 1

• Go up 1 and over 2

• Go up 2 and over 1

Why do we shade above the line for the inequality y > 3x + 1?

• Because y is less than the line

• Because y is equal to the line

• Because y is greater than the line

• Because y is not related to the line

Where do we shade for the inequality y < 1/2x - 3?

• Below the line

• To the left of the line

• Above the line

• On the line

What is the solution region for a system of inequalities?

• The region below both lines

• The region where the lines intersect

• The region where the shading overlaps

• The region above both lines