Graphing a linear inequality less than or equal to

The video tutorial explains how to graph linear inequalities by using the slope-intercept form. It covers identifying the y-intercept and slope, plotting points, and determining whether to use solid or dashed lines. The tutorial also demonstrates testing points, like (0,0), to verify which side of the line satisfies the inequality, and shading the appropriate region on the graph.

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

• The angle of the line

• The point where the line crosses the y-axis

• The slope of the line

• The point where the line crosses the x-axis

How should a negative slope be correctly interpreted?

• As a positive slope

• As a ratio with a negative numerator or denominator

• As a ratio with both numerator and denominator negative

• As a zero slope

What distinguishes a linear inequality from a linear equation when graphing?

• The use of different axes

• The use of colors

• The use of different scales

• The use of solid or dashed lines

When should you use a solid line in graphing a linear inequality?

• When the inequality is less than or greater than

• When the inequality is equal to

• When the inequality is not equal to

• When the inequality is less than or equal to or greater than or equal to

Which point is commonly used to test the validity of a linear inequality?

• (1,1)

• (0,0)

• (2,2)

• (-1,-1)