Graphing Linear Inequalities Review A1PB

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤).

Front

What does the graph of a linear inequality represent?

Back

The graph of a linear inequality represents all the solutions to the inequality, showing the region of the coordinate plane that satisfies the inequality.

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What does it mean if a line is dashed in a graph of a linear inequality?

Back

A dashed line indicates that the points on the line are not included in the solution set (i.e., the inequality is strict: < or >).

Front

What does it mean if a line is solid in a graph of a linear inequality?

Back

A solid line indicates that the points on the line are included in the solution set (i.e., the inequality is non-strict: ≤ or ≥).

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a dashed or solid line. 2. Shade the region that satisfies the inequality (above or below the line).

Front

What is the significance of the slope in a linear inequality?

Back

The slope indicates the steepness of the line and the direction of the inequality (positive slope means the line rises, negative slope means it falls).

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation.

Front

How do you convert a linear inequality to slope-intercept form?

Back

To convert, isolate y on one side of the inequality. If you multiply or divide by a negative number, flip the inequality sign.