Inequalities and Slope-Intercept Form

The video tutorial explains how to convert an inequality into slope-intercept form. It begins by introducing the concept of slope-intercept form and the goal of solving for y. The tutorial then details the steps to move terms across the inequality, emphasizing the rule that the inequality sign flips when multiplying or dividing by a negative number. Finally, it demonstrates how to simplify the terms to achieve the final slope-intercept form.

What is the first step in converting an inequality to slope-intercept form?

• Solve for x

• Add 5 to both sides

• Solve for y

• Multiply both sides by 2

What is the purpose of converting an inequality to slope-intercept form?

• To find the intercept

• To find the slope

• To solve for y

• To solve for x

What does the slope-intercept form of a line look like?

• y = mx + b

• x = my + b

• x = b + my

• y = b + mx

What is the coefficient of x in the slope-intercept form?

• m

• y

• b

• x

What is the constant term in the slope-intercept form?

• y

• x

• m

• b

What operation is performed to move 4x to the right side of the inequality?

• Multiply both sides by 4x

• Subtract 4x from both sides

• Divide both sides by 4x

• Add 4x to both sides

What is the result of subtracting 4x from both sides of the inequality?

• 4x is subtracted from the left side

• 4x is added to the right side

• 4x is subtracted from the right side

• 4x is added to the left side

When should you flip the inequality sign?

• When multiplying or dividing by a negative number

• When multiplying or dividing by a positive number

• When subtracting a positive number

• When adding a positive number

What should you always check when solving an inequality?

• If you need to flip the sign

• If you need to subtract a number

• If you need to multiply by zero

• If you need to add a number

What is the result of dividing both sides of an inequality by a negative number?

• The inequality sign remains the same

• The inequality sign flips

• The inequality becomes an equation

• The inequality sign disappears