Graphing Linear Inequalities in Slope-Intercept Form

This video tutorial from MathGuide.com explains how to graph linear inequalities in slope-intercept form. It covers two examples, detailing the process of plotting points, drawing lines, and determining which side of the line to shade using test points. The video emphasizes the importance of using dashed or solid lines based on the inequality type and provides tips for selecting test points. It concludes with a reminder to explore additional resources and interactive quizzes available on the website.

What form of inequalities are we focusing on in this tutorial?

• Quadratic inequalities

• Point-slope form

• Standard form

• Slope-intercept form

What type of line is used to graph a 'less than' inequality?

• Solid line

• Dotted line

• Dashed line

• Thick line

Why is the origin (0,0) recommended as a test point?

• It's never a solution

• It's always on the line

• It's the highest point

• It simplifies calculations

What indicates that you should shade below the line?

• The inequality is 'greater than'

• The test point is above the line

• The line is solid

• The test point works with the inequality

How do you determine which side of the line to shade?

• Shade randomly and check

• Use a test point to decide

• Always shade above the line

• Shade the side opposite the test point

What type of line represents an inequality that includes 'equal to'?

• No line

• Dotted line

• Dashed line

• Solid line

What does a slope of 3 indicate in terms of movement on the graph?

• Move up 3, right 1

• Move up 1, right 3

• Move down 3, left 1

• Move down 1, left 3

What does a y-intercept of -4 mean for graphing?

• Start at (0,4) on the y-axis

• Start at (4,0) on the x-axis

• Start at (0,-4) on the y-axis

• Start at (-4,0) on the x-axis

Why might a point not work when determining which side to shade?

• It doesn't satisfy the inequality

• It's on the line

• It's a positive point

• It's the origin

What is the purpose of interactive quizzes on mathguide.com?

• To register for classes

• To download worksheets

• To check your answers and understanding

• To provide entertainment