Converting Between Slope-Intercept and Standard Form

This video tutorial from Education Lifeline explains how to convert equations between standard form and slope-intercept form. It begins with an introduction and links to previous videos for foundational understanding. The tutorial provides step-by-step instructions for converting a standard form equation to slope-intercept form and vice versa, including handling fractions and ensuring the equation is in its simplest form. The video concludes with a call to action for viewers to like, subscribe, and explore additional resources.

What is the slope-intercept form of an equation?

• By = Ax + C

• y = mx + b

• x = my + b

• Ax + By = C

What is the purpose of converting equations between standard form and slope-intercept form?

• To understand the slope and y-intercept more easily

• To simplify calculations

• To make the equations longer

• To practice algebraic manipulation

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

• Multiply both sides by the least common multiple

• Divide all terms by the coefficient of x

• Isolate the y-variable

• Subtract the constant term from both sides

How do you handle the mx term when converting to slope-intercept form?

• Multiply it by the coefficient of y

• Divide it by the coefficient of y

• Leave it on the right side

• Move it to the left side

What is the result of converting 3x - 4y = 24 to slope-intercept form?

• y = 3/4x + 6

• y = -3/4x - 6

• y = 3/4x - 6

• y = -3/4x + 6

What is the least common multiple of 3 and 5?

• 20

• 15

• 10

• 8

Why do we multiply both sides of the equation by the least common multiple when converting to standard form?

• To isolate the y-variable

• To eliminate the fractions

• To simplify the equation

• To balance the equation

What is the final form of the equation after converting y = 1/3x - 2/5 to standard form?

• 5x - 15y = 6

• -5x + 15y = -6

• 5x + 15y = -6

• 5x - 15y = -6

What is the correct order of terms in standard form?

• Ax + By = C

• By + Ax = C

• C = Ax + By

• Ax = By + C

How do we ensure the A value in standard form is not negative?

• Multiply the entire equation by -1

• Add a positive constant

• Divide the entire equation by -1

• Subtract a negative constant