Transforming Linear Equations to Standard Form

What is the standard form of a linear equation?

• ax + by = c

• ax^2 + bx + c = 0

• y = mx + b

• y - y1 = m(x - x1)

Which of the following must be true for the coefficients in the standard form of a linear equation?

• They must be negative.

• They must be positive.

• They must be integers.

• They must be fractions.

How do you eliminate a fraction in a linear equation to convert it to standard form?

• Divide everything by the common denominator.

• Multiply everything by the common denominator.

• Subtract the fraction from both sides.

• Add the fraction to both sides.

When converting a slope-intercept form equation to standard form, what is the first step?

• Move the x-term to the left side.

• Multiply by the common denominator.

• Add the constant term to both sides.

• Move the y-term to the left side.

In the equation y = mx + b, what does 'm' represent?

• The constant term

• The x-intercept

• The slope

• The y-intercept

What is the result of converting the equation y = -1/4x + 6 to standard form?

• 4y = x + 24

• x + 4y = -24

• -x + 4y = 24

• x - 4y = 24

When converting from point-slope form to standard form, what is the first step?

• Distribute to remove parentheses.

• Add the constant term to both sides.

• Move the x-term to the left side.

• Move the y-term to the left side.

In the equation y - y1 = m(x - x1), what does 'm' represent?

• The x-intercept

• The slope

• The y-intercept

• The constant term

How do you handle a vertical line equation when converting to standard form?

• Ensure y is on one side and the constant on the other.

• Ensure x is on one side and the constant on the other.

• Move the x-term to the left side.

• Move the y-term to the left side.

What is the final step in converting a point-slope form equation to standard form?

• Move the y-term to the left side.

• Distribute to remove parentheses.

• Move the x-term to the left side.

• Add the constant term to both sides.