Graphing Linear Inequalities Techniques

The video tutorial covers graphing linear inequalities, focusing on understanding inequality symbols, converting equations to slope-intercept form, and determining the type of line and shading required. It provides step-by-step examples to illustrate the process of plotting points, drawing lines, and shading regions based on inequality symbols.

What type of line is used when the inequality symbol includes 'or equal to'?

• Intermittent line

• No line

• Solid line

• Dotted line

If the y-intercept of a line is -4, where does the line cross the y-axis?

• At y = 4

• At y = -4

• At x = -4

• At x = 4

When graphing 'y > -5/4x - 2', where should you shade?

• Below the line

• No shading needed

• Above the line

• On the line

What is the slope of the line when the inequality is 'y > -5/4x - 2'?

• 5/4

• 4/5

• -5/4

• -4/5

What type of line should be used if the inequality is open, such as 'y > -5/4x - 2'?

• No line

• Thick line

• Dotted line

• Solid line

What happens to the inequality symbol when you divide or multiply by a negative number?

• It remains the same

• It disappears

• It becomes undefined

• It flips

When converting '4x - 3y > 18' to slope-intercept form, what is the first step?

• Divide by 4

• Subtract 4x from both sides

• Add 3y to both sides

• Multiply by -1

In the inequality '4x + 5y < 20', after moving '4x' to the other side, what is the new form of the inequality?

• 5y = -4x + 20

• 5y > -4x + 20

• 5y < -4x + 20

• 5y < 20 + 4x

After converting '4x + 5y < 20' to slope-intercept form, what is the coefficient of x?

• 4/5

• -4/5

• 5

• -5/4

Where should you shade the region for the inequality '5y < -4x + 20' after graphing?

• Above the line

• Below the line

• On the line

• No shading