Rewriting Equations in Slope-Intercept Form

What is the primary goal when converting equations into slope-intercept form?

• To eliminate all variables

• To isolate the y variable

• To simplify the equation without changing its form

• To isolate the x variable

Which of the following is a characteristic of slope-intercept form?

• The x variable is isolated

• Both variables are on one side

• The y variable is isolated

• There are no constants in the equation

What mathematical operation is initially used to simplify the equation in the first example?

• Subtraction

• Division

• Multiplication

• Distributive property

How do you eliminate the subtraction of 4 in the first example?

• Subtract 4 from both sides

• Add 4 to both sides

• Divide both sides by 4

• Multiply both sides by 4

What is the purpose of applying distributive property in the process of converting to slope-intercept form?

• To combine like terms

• To isolate the y variable

• To eliminate the x variable

• To simplify the equation

In the second example, what operation is performed to get rid of the negative x?

• Multiply both sides by x

• Add x to both sides

• Subtract x from both sides

• Divide both sides by x

What is the final form of the equation in the second example?

• y = x + 4

• y = x/4

• y = 4x

• y = x - 4

In the third example, what is the first step to isolate y?

• Add 2x to both sides

• Divide both sides by 2x

• Multiply both sides by 2x

• Subtract 2x from both sides

After dividing by 4 in the third example, what is the coefficient of x?

• -2

• 1/2

• 2

• -1/2

What is the constant term in the final equation of the third example?

• -12

• 12

• -3

• 3