Understanding Inequalities and Graphing

The video tutorial explains how to graph equations and inequalities using Desmos. It begins with a review of equations, focusing on the slope and y-intercept. The tutorial then distinguishes between solid and dashed lines in inequalities, explaining their significance. It guides viewers on finding the slope and y-intercept, and how to graph inequalities. The video concludes with methods to verify the correct inequality using graphing techniques and test points.

What is one thing that Desmos can help you with?

• Graphing equations and inequalities

• Solving equations

• Finding the slope

• Writing inequalities

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

• The x-intercept

• The constant term

• The y-intercept

• The slope

What type of line is used for inequalities that include 'less than or equal to' or 'greater than or equal to'?

• Dashed line

• Dotted line

• Solid line

• Curved line

Which inequality symbol is used for a dashed line?

• = or ≠

• < or >

• ≤ or ≥

• ≈ or ≠

If a line crosses the y-axis at -2, what is the y-intercept (b) in the equation y = mx + b?

• 2

• -2

• 0

• 1

How do you determine the slope from a graph?

• By measuring the angle of the line

• By looking at the x-intercept

• By counting the rise over the run between two points

• By finding the y-intercept

What is the slope if you rise 2 units and run 4 units to the left?

• -2

• 1/2

• -1/2

• 2

What is the first step in verifying an inequality using Desmos?

• Choosing a point in the shaded area

• Checking the y-intercept

• Finding the slope

• Graphing the inequality

Which point is commonly used to verify an inequality on a graph?

• (1,1)

• (0,0)

• (-1,-1)

• (2,2)

If the point (0,0) satisfies the inequality y > -1/2x - 2, what does this indicate?

• The inequality is incorrect

• The point is not in the shaded area

• The inequality is correct

• The slope is incorrect