Graphing Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (>, <, ≥, ≤). It represents a region of the coordinate plane.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.8.EE.B.5

Front

What is the slope-intercept form of a linear equation?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dashed line indicates that the points on the line are not included (> or <).

Tags

CCSS.HSA.REI.D.12

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as if it were an equality. 2. Use a solid or dashed line based on the inequality. 3. Shade the appropriate region to represent the solution set.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean to shade above the line in a graph of an inequality?

Back

Shading above the line indicates that the solution includes all points where the y-value is greater than the line (for inequalities like y > mx + b or y ≥ mx + b).

Tags

CCSS.HSA.REI.D.12

Front

What does it mean to shade below the line in a graph of an inequality?

Back

Shading below the line indicates that the solution includes all points where the y-value is less than the line (for inequalities like y < mx + b or y ≤ mx + b).

Tags

CCSS.HSA.REI.D.12

Front

What is the y-intercept of a line?

Back

Front

How can you determine if a point is a solution to a linear inequality?

Back

To determine if a point (x, y) is a solution, substitute the x and y values into the inequality. If the inequality holds true, then the point is a solution.