Graphing Linear Inequalities Concepts

In this video, Chon explains how to graph linear inequalities on a Cartesian plane. The tutorial covers two examples: graphing Y ≥ -3x + 2 and Y < -3/2x + 2. Chon demonstrates how to convert inequalities to equations, find the Y-intercept and slope, and plot points. The video also explains how to determine whether to use a solid or broken line and how to shade the correct region using a test point. The tutorial concludes with a brief channel promotion.

What is the first step in graphing a linear inequality?

• Shade the graph

• Determine the slope

• Find the x-intercept

• Convert the inequality to an equation

In the equation y = mx + b, what does 'b' represent?

• The slope

• The x-intercept

• The y-intercept

• The origin

How do you find the second point when graphing a line?

• Use the origin

• Use the y-intercept

• Use the slope

• Use the x-intercept

What determines if the line is solid or broken?

• The x-intercept

• The inequality symbol

• The slope

• The y-intercept

Which test point is commonly used to determine shading?

• (0,0)

• (2,2)

• (-1,-1)

• (1,1)

What is the inequality in the second example?

• y ≥ -3x + 2

• y > -3x + 2

• y < -3/2x + 2

• y ≤ -3/2x + 2

In the second example, what is the y-intercept?

• 2

• 1

• 0

• -2

How is the second point found in the second example?

• Using the y-intercept

• Using the slope

• Using the origin

• Using the x-intercept

What type of line is used for the inequality y < -3/2x + 2?

• Dashed line

• Dotted line

• Thick line

• Solid line

What is the main purpose of shading in graphing inequalities?

• To highlight the x-intercept

• To show the slope

• To mark the y-intercept

• To indicate the solution region