Graphing Linear Inequalities Review

Front

What does a solid line indicate in graphing linear inequalities?

Back

A solid line indicates that the points on the line are included in the solution set (≥ or ≤).

Front

What does a dashed line indicate in graphing linear inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set (> or <).

Front

How do you determine which side of the line to shade for the inequality y ≥ -9x + 5?

Back

Shade above the line because the inequality is 'greater than or equal to'.

Front

What is the solution set for the inequality y ≤ 2/5x + 1?

Back

The solution set includes all points below and on the line y = 2/5x + 1.

Front

Which point is NOT part of the solution set for the inequality y ≤ -2/5x + 1?

Back

(5, 10) is NOT part of the solution set.

Front

What does the inequality y ≥ -5/4x + 3 represent in terms of graphing?

Back

It represents all points on or above the line y = -5/4x + 3.

Front

How do you identify the correct graph for an inequality?

Back

Look for the line type (solid or dashed) and the shading direction based on the inequality sign.

Front

What is the significance of the y-intercept in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What does the slope of a line represent in a linear inequality?

Back

The slope indicates the steepness of the line and the direction it rises or falls.

Front

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

Back

Substitute the point's coordinates into the inequality; if the inequality holds true, the point is a solution.