Graphing a linear inequality

The video tutorial explains how to solve and graph linear inequalities, similar to linear equations. It covers the slope-intercept method, identifying slope and y-intercept, plotting points, and determining the type of line (solid or dashed) based on the inequality. The tutorial also discusses using test points to decide which side of the line to shade, ensuring the inequality holds true.

What does the 'm' represent in the slope-intercept form of a linear equation?

• The constant term

• The x-intercept

• The slope

• The y-intercept

If a slope is given as -1/3, which of the following is NOT a correct interpretation?

• -1 over -3

• 1 over -3

• Negative 1 over 3

• -1 over 3

When plotting a line for an inequality, what type of line is used for a 'less than' inequality?

• Solid line

• Thick line

• Dotted line

• Dashed line

What is the purpose of using test points when graphing inequalities?

• To decide which side of the line to shade

• To determine the y-intercept

• To calculate the x-intercept

• To find the slope

Which point is commonly used as a test point unless the line passes through it?

• (1, 1)

• (0, 0)

• (2, 2)

• (3, 3)

If the test point (0, 0) results in a false inequality, where should you shade?

• Above the line

• Below the line

• To the right of the line

• On the line

What happens if the inequality is true for the test point?

• Do not shade

• Shade the same side

• Shade the opposite side

• Shade both sides