Graphing a linear inequality with test points

The video tutorial explains how to graph inequalities with two variables by treating them like equations. It covers graphing in slope-intercept form, identifying the Y-intercept and slope, and plotting points. The tutorial also discusses using dotted lines for inequalities and choosing test points, emphasizing the use of (0,0) unless the line passes through it. Finally, it explains how to determine which side of the graph to shade based on true statements.

What is the first step in graphing an equation in slope-intercept form?

• Find the y-intercept

• Plot the x-intercept

• Find the slope

• Determine the inequality sign

How do you determine the slope of a line?

• By finding the y-intercept

• By identifying the x-intercept

• By measuring the distance between two points

• By calculating the ratio of change in y to change in x

What does a dotted line represent in graphing inequalities?

• The inequality is less than or equal to

• The inequality is greater than or equal to

• The line is not part of the solution

• The line is part of the solution

Why is the point (0,0) often used as a test point in graphing?

• It is always part of the solution

• It is easy to calculate

• It is always outside the solution area

• It is the origin and simplifies calculations

When should you avoid using (0,0) as a test point?

• When the y-intercept is zero

• When the graph is in slope-intercept form

• When the inequality is strict

• When the line passes through (0,0)

What does shading on a graph indicate in the context of inequalities?

• The boundary of the solution

• The area where the inequality is true

• The area where the inequality is false

• The slope of the line

What is the significance of the inequality sign in determining the type of line used?

• It determines the x-intercept

• It determines if the line is dotted or solid

• It determines the y-intercept

• It determines the slope