Converting Standard Form to Slope-Intercept Form

What is the standard form of a linear equation?

• x/a + y/b = 1

• ax + by = c

• y = mx + b

• ax^2 + bx + c = 0

Which components must be integers in the standard form of a linear equation?

• m and b

• None of the above

• a, b, and c

• x and y

Why can't fractions be used in the coefficients of the standard form?

• They change the equation to slope-intercept form

• They make the equation non-linear

• Standard form requires integer coefficients

• Fractions are not allowed in any linear equations

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

• Divide each term by the coefficient of y

• Multiply each term by the coefficient of x

• Isolate the y variable

• Subtract the x term from both sides

When moving a term to the other side of the equation, what operation is typically used?

• Multiplication

• Division

• Addition or subtraction

• None of the above

How do you isolate the y variable when it is multiplied by a coefficient?

• Multiply both sides by the coefficient

• Divide both sides by the coefficient

• Add the coefficient to both sides

• Subtract the coefficient from both sides

What is the slope-intercept form of a linear equation?

• x/a + y/b = 1

• ax^2 + bx + c = 0

• y = mx + b

• ax + by = c

What does the coefficient of x represent in slope-intercept form?

• The y-intercept

• The slope

• None of the above

• The x-intercept

What is the result of dividing both sides of an equation by the coefficient of y?

• It changes the equation to standard form

• It isolates the x variable

• None of the above

• It isolates the y variable

Why is it important to write the x term first in slope-intercept form?

• To identify the slope more easily

• It is a mathematical rule

• To calculate the y-intercept

• None of the above