Graphing Inequalities on the Coordinate Plane

What is the first step in graphing an inequality on a coordinate plane?

• Converting the inequality to an equation

• Shading the correct side

• Drawing the boundary line

• Plotting the test points

What form is the equation y = x - 2?

• Slope-intercept form

• Quadratic form

• Standard form

• Point-slope form

How do you plot the boundary line for the equation y = x - 2?

• Estimating the line position

• Drawing a curve through the origin

• By calculating the intercepts

• Using a point and a slope

Why is the origin often chosen as a test point in inequalities?

• It represents all quadrants

• It lies on every line

• It is always a solution

• It simplifies calculations

What does a false statement in test point analysis indicate?

• The boundary line is incorrect

• The test point is not a solution

• The inequality is invalid

• The test point is a solution

What should be done if a test point does not satisfy the inequality?

• Replot the boundary line

• Change the inequality

• Ignore the test point

• Shade the opposite side

How do you confirm the correct side to shade in an inequality graph?

• Check the Y-intercept

• Shade both sides

• Guess based on the slope

• Use multiple test points

What does it mean if a point on the shaded side satisfies the inequality?

• The point is not a solution

• The boundary line should be dashed

• The graph is incorrect

• The shading is correct

What is indicated by the inequality symbol ≤ in the context of graphing?

• Shade above the line

• Include the boundary line in the solution

• Exclude the boundary line from the solution

• Shade below the line

Which quadrant is preferred for selecting test points to avoid errors?

• Third quadrant

• First quadrant

• Second quadrant

• Fourth quadrant