Graphing Linear Inequalities Concepts

The video tutorial by M Squared covers the topic of writing and graphing linear inequalities. It begins with an introduction to linear inequalities and the importance of understanding graphing techniques using slope-intercept form. The tutorial explains how to test points to determine the correct region for inequalities and provides examples of solving and graphing different inequalities. It also covers the concepts of horizontal and vertical lines in inequalities, concluding with final thoughts on writing inequalities.

What is the primary focus of the video tutorial?

• Graphing quadratic equations

• Writing linear inequalities

• Solving linear equations

• Writing linear equations

What does a dashed line represent in a graph of inequalities?

• Greater than or equal to

• Less than or equal to

• Equal to

• Less than or greater than

What form is considered easiest for graphing linear inequalities?

• Slope-intercept form

• Point-slope form

• Standard form

• Quadratic form

Why is it important to test a point when graphing inequalities?

• To determine the y-intercept

• To verify the correct shaded region

• To find the slope

• To calculate the x-intercept

What is the slope if the rise is 6 and the run is 2?

• 1

• 2

• 4

• 3

What should you do if your test point does not satisfy the inequality?

• Ignore the test point

• Recalculate the y-intercept

• Check for mistakes and correct them

• Change the slope

What is the equation of a horizontal line at y = 3?

• x = 3

• y = 0

• y = 3

• x = 0

What is the equation of a vertical line at x = 5?

• x = 0

• x = 5

• y = 5

• y = 0