Converting Linear Equations: Slope-Intercept to Standard Form

Which form of linear equation is primarily used for graphing?

• Standard form

• Slope-intercept form

• Point-slope form

• Quadratic form

What must be true about the coefficients in the standard form of a linear equation?

• They must be fractions

• They must be negative

• They must be integers

• They must be zero

Why is it important to convert between different forms of linear equations?

• To avoid using calculators

• To make the equations look nicer

• To answer questions about graphs and slopes more easily

• To solve equations faster

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

• Add or subtract terms to isolate the constant

• Multiply by a fraction

• Divide by the coefficient of x

• Isolate the y-term

In standard form, what must be true about the coefficient of x?

• It must be positive

• It must be zero

• It must be a fraction

• It must be negative

What operation is used to eliminate a fraction in the standard form of a linear equation?

• Subtraction

• Division

• Addition

• Multiplication

When converting from standard form to slope-intercept form, what is the goal?

• Make all coefficients fractions

• Eliminate the constant

• Isolate the y-term

• Isolate the x-term

What is the result of dividing both sides of an equation by a negative number?

• The coefficients become fractions

• The signs of all terms change

• The equation remains the same

• The equation becomes undefined

What is the first step in converting from point-slope form to slope-intercept form?

• Subtract the y-coordinate of the point

• Distribute the slope

• Add the y-intercept

• Multiply by the slope

If given a point and a slope, which form should you start with to find the equation of a line?

• Standard form

• Quadratic form

• Slope-intercept form

• Point-slope form