Converting Slope-Intercept to Standard Form

What is the standard form of a linear equation?

• x = Ay + B

• y = Ax + B

• Ax + By = C

• y = mx + b

Which of the following is NOT a requirement for the standard form of a linear equation?

• A, B, and C must be integers

• B must be greater than zero

• A must be positive

• There should be no fractions or decimals

In the first example, what is the standard form of the equation y = 5x + 2?

• -5x - y = -2

• 5x - y = -2

• -5x + y = 2

• 5x + y = 2

Why do we divide by -1 in the first example?

• To make the coefficients integers

• To simplify the equation

• To eliminate fractions

• To ensure the lead coefficient is positive

In the second example, what is the first step to convert y = 1/2x + 3 to standard form?

• Add 1/2x to both sides

• Subtract 1/2x from both sides

• Multiply by 2

• Divide by 2

What is the standard form of the equation y = 1/2x + 3 after clearing the fraction?

• x + 2y = -6

• x - 2y = 6

• x - 2y = -6

• x + 2y = 6

In the third example, what is the lowest common denominator for the fractions 1/10 and 1/4?

• 10

• 20

• 30

• 40

After finding the common denominator, what is the next step in the third example?

• Add the fractions

• Multiply both sides by the common denominator

• Divide both sides by the common denominator

• Subtract the fractions

What is the standard form of the equation after clearing the denominators in the third example?

• 20y + 6x = 5

• 6x + 20y = 5

• 6x - 20y = 5

• 20y - 6x = 5

What is the final step to convert an equation to standard form?

• All of the above

• Ensure all coefficients are integers

• Ensure the lead coefficient is positive

• Move all variable terms to one side