Learn how to graph a linear inequality with a negative fraction slope

The video tutorial explains how to graph a linear inequality, specifically focusing on the inequality Y ≥ -2/3X - 2. It covers the importance of determining whether to use a solid or dashed line, based on the inequality symbol. The tutorial then explains how to use the slope-intercept form to identify the slope and y-intercept, and how to plot these on a graph. It also discusses the significance of the slope as a ratio and how to use it to find additional points on the line. Finally, the video demonstrates how to test points to determine which side of the line to shade, indicating the solution set for the inequality.

What does the 'greater than or equal to' symbol indicate when graphing a linear inequality?

• A vertical line

• A solid line

• A dashed line

• A horizontal line

In the slope-intercept form of a linear equation, what does the slope represent?

• The midpoint of the line

• The x-intercept

• The ratio of change in y to change in x

• The y-intercept

Where is the y-intercept located on a graph?

• At the origin

• On the x-axis

• On the y-axis

• At the midpoint of the line

When plotting a graph, what is the first point you should plot?

• Any random point

• The midpoint

• The y-intercept

• The x-intercept

How do you determine which side of the line to shade for a linear inequality?

• By checking the y-intercept

• By testing a point not on the line

• By testing a point on the line

• By checking the slope