Graphing Two Variable Inequalities on the Coordinate Plane

The __________ is a measure of the steepness of a line, or a section of a line, connecting two points.

• Table

• Identity

• Slope

• Y-Intercept

Tags

CCSS.8.EE.B.5

If the inequality is y<1x/2+1, what is the correct way to graph it?

• Graph the line y = (1/2)x + 1 as a dashed line and shade below it.

• Graph the line y = (1/2)x + 1 as a dashed line and shade above it.

• Graph the line y = (1/2)x + 1 and do not shade any area.

• Graph the line y = (1/2)x + 1 as a solid line and shade above it.

Answer explanation

To graph the inequality y < (1/2)x + 1, first graph the line y = (1/2)x + 1 as a dashed line, indicating that points on the line are not included. Then, shade below the line to represent all y-values less than the line.

Tags

CCSS.HSA.REI.D.12

Which of the following statements about the solution set of a two-variable inequality is true?

• The solution set is a single point in the coordinate plane.

• The solution set can only be represented as a line segment.

• The solution set is a region in the coordinate plane.

• The solution set is always empty for two-variable inequalities.

Answer explanation

The correct choice is that the solution set is a region in the coordinate plane. Two-variable inequalities typically represent areas, such as half-planes, rather than just points or line segments.

Tags

CCSS.HSA.REI.D.12

Which of the following inequalities represents the shaded region above the line y=-3x+5?

• y > -3x + 5

• y < -3x + 5

• y = -3x + 5

• y ≥ -3x + 5

Answer explanation

The inequality y > -3x + 5 represents the region above the line y = -3x + 5. The other options either include the line or represent the area below it, making them incorrect.

Tags

CCSS.HSA.REI.D.12

Choose the correct inequality for this graph.

Tags

CCSS.HSA.REI.D.12

Choose the correct inequality for this graph.

Tags

CCSS.HSA.REI.D.12

Choose the correct inequality for this graph.

Tags

CCSS.HSA.REI.D.12

Choose the correct inequality for this graph.

Tags

CCSS.HSA.REI.D.12

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, 20)

• (3, 5)

• (0, -2)

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Tags

CCSS.HSA.REI.D.12