Converting Linear Inequalities to Slope-Intercept Form

What is the first step in converting linear inequalities from standard form to slope-intercept form?

• Flip the inequality if necessary

• Divide the coefficient of Y

• Simplify the equation

• Move the X variable

When should you flip the inequality sign?

• Before simplifying the equation

• If dividing or multiplying by a negative number

• After moving the X variable

• When dividing by a positive number

What does dividing the coefficient of Y accomplish?

• It flips the inequality sign

• It adds complexity to the equation

• It simplifies the X variable

• It isolates the Y variable

Why is it important to simplify the equation in the last step?

• To make it easier to graph

• To introduce new variables

• To complicate the equation

• To flip the inequality sign

What is the significance of flipping the inequality sign?

• It is done after every operation

• It corrects the direction of the inequality after dividing by a negative

• It has no significance

• It is only done when dividing by a positive number

In Example 1, what is the final form of the inequality?

• y > -3x + 3

• y < -3x - 3

• y > 3x + 3

• y < 3x - 3

In Example 2, why was the inequality sign not flipped?

• Because it was divided by a positive number

• Because the X variable was moved

• Due to simplification

• Because it was multiplied by a negative number

What is the final inequality in Example 3?

• y > 5/2x - 3

• y < -5/2x - 3

• y < 5/2x + 3

• y > -5/2x + 3

In Example 4, after dividing by -4, what is the correct final form of the inequality?

• y >= 1/4x - 5

• y <= 1/4x + 5

• y <= -1/4x - 5

• y >= -1/4x + 5

In the final example, what does dividing by 2 achieve?

• It introduces a new variable

• It simplifies the equation for graphing

• It complicates the equation

• It changes the inequality sign