Understanding Linear Equations in Standard Form

What is the correct structure of a linear equation in standard form?

• a/b = c

• ax + by = c

• ax^2 + bx + c = 0

• y = mx + b

When converting from point-slope form to standard form, what must be true about the 'a' value?

• It must be zero

• It must be positive

• It must be a fraction

• It must be negative

In the first example, what operation is used to ensure the 'a' value is positive?

• Subtraction

• Division

• Multiplication by -1

• Addition

What is the first step in converting an equation from slope-intercept form to standard form?

• Multiply by the denominator

• Divide by the coefficient of x

• Add the y-term to both sides

• Move the x-term to the left side

How do you eliminate fractions when converting to standard form?

• Add the numerator to both sides

• Multiply the entire equation by the denominator

• Subtract the fraction from both sides

• Divide the entire equation by the numerator