Systems of Linear Inequalities

What is the slope of the line represented by the inequality 2x - 3y ≤ 21 after converting it into slope-intercept form?

• -2/3

• 2/3

• 3/2

• -3/2

Which region does the inequality y ≥ 2/3x - 7 represent on the graph?

• On the line

• Below the line

• Above the line

• None of the above

What is the y-intercept of the line when the inequality x + 4y < 6 is converted into slope-intercept form?

• 1.5

• 6

• -1.5

• -6

In the system of inequalities, which area represents the solution set for both 2x - 3y ≤ 21 and x + 4y < 6?

• Above the orange line and below the blue line

• Below the orange line and above the blue line

• Only on the orange line

• Only on the blue line

What additional condition does the inequality 3x + y ≥ -4 introduce to the solution set?

• No additional condition

• Only on the green line

• Below the green line

• Above the green line