Graphing a system of linear inequalities

The video tutorial covers graphing linear inequalities, comparing them to linear equations. It explains graphing in slope-intercept form, identifying Y intercepts and slopes, and using test points to determine shading regions. The tutorial also demonstrates converting standard form equations to slope-intercept form for graphing, emphasizing the importance of solid and dashed lines based on inequality symbols.

What is the first step when graphing a linear inequality?

• Identify the x-intercept

• Plot the y-intercept

• Determine the test point

• Shade the graph

How do you determine if the line should be solid or dashed?

• By the inequality symbol

• By the x-intercept

• By the y-intercept

• By the slope value

What is the purpose of using a test point in graphing inequalities?

• To find the slope

• To determine the y-intercept

• To decide where to shade the graph

• To calculate the x-intercept

Which test point is commonly used to determine shading?

• (1,1)

• (0,0)

• (2,2)

• (3,3)

When converting a standard form inequality to slope-intercept form, what is the first step?

• Subtract the x-term from both sides

• Divide by the x-coefficient

• Multiply by the y-coefficient

• Add the x-term to both sides

What does it mean if the test point results in a false inequality?

• Shade away from the test point

• Shade towards the test point

• Change the test point

• Do not shade the graph

Where should you shade if the test point results in a true inequality?

• Above the line

• Away from the test point

• Below the line

• Towards the test point