Understanding Graphing Inequalities

The video tutorial explains how to write inequalities from a given graph using a four-step process. It begins with determining if the line is solid or dashed, which affects the inequality symbols. Next, it identifies the y-intercept and calculates the slope using the rise over run method. Finally, it uses Desmos to verify the correct inequality by checking the shaded area on the graph.

What does a solid line on a graph indicate about the inequality symbols?

• It indicates the use of 'equal to' symbol only.

• It indicates the use of 'less than' or 'greater than' symbols.

• It indicates no specific inequality symbols.

• It indicates the use of 'less than or equal to' or 'greater than or equal to' symbols.

What is the significance of a dashed line in graphing inequalities?

• It indicates no specific inequality symbols.

• It indicates the use of 'equal to' symbol only.

• It indicates the use of 'less than or equal to' or 'greater than or equal to' symbols.

• It indicates the use of 'less than' or 'greater than' symbols.

Which equation form is used to help determine the inequality from a graph?

• y = bx + m

• y = ax + b

• y = mx + c

• y = mx + b

What is the y-intercept in the equation y = mx + b?

• The point where the line crosses the x-axis.

• The point where the line crosses the y-axis.

• The slope of the line.

• The midpoint of the line.

Which step involves finding the point where the line crosses the y-axis?

• Step 3: Find y-intercept

• Step 2: Use growth equation

• Step 1: Determine line type

• Step 4: Calculate slope

How is the slope of a line determined?

• By the difference in x-coordinates.

• By the difference in y-coordinates.

• By the ratio of rise over run.

• By the sum of rise and run.

What is the slope if the rise is 2 and the run is -4?

• 1/2

• -1/2

• 2

• -2

How can Desmos help in verifying the correct inequality?

• By providing the slope and y-intercept directly.

• By calculating the exact values of x and y.

• By displaying the shaded area corresponding to the inequality.

• By showing the exact equation of the line.

What happens if the inequality symbol is changed in Desmos?

• The line on the graph disappears.

• The shaded area on the graph changes.

• The slope of the line changes.

• The y-intercept of the line changes.

What is the correct inequality if the graph shades the top right-hand side?

• y > mx + b

• y < mx + b

• y ≥ mx + b

• y ≤ mx + b