Transforming Equations to Slope Intercept Form

Maria, a mathematician, explains how to convert a line equation from standard form to slope intercept form. She demonstrates the process using an example equation, detailing each step to isolate the variable y. The tutorial covers subtracting terms and dividing to achieve the final slope intercept form, ensuring clarity in the conversion process.

What is the slope intercept form of a line?

• mx + y = b

• y = ax + b

• ax + by = c

• y = mx + b

In the standard form of a line, what does 'c' represent?

• The y-intercept

• The x-intercept

• A constant

• The slope

What is the first step to convert the standard form to slope intercept form?

• Divide both sides by the coefficient of x

• Multiply both sides by the coefficient of y

• Subtract the x term from both sides

• Add the x term to both sides

Why do we subtract the x term from both sides of the equation?

• To find the slope

• To isolate the x term

• To eliminate the x term from the left side

• To make the equation simpler

What happens to the x term after subtracting it from both sides?

• It becomes zero

• It doubles

• It remains the same

• It is added to the y term

What is the next step after subtracting the x term?

• Multiply by the coefficient of y

• Subtract the constant term

• Add the constant term

• Divide by the coefficient of y

Why do we divide both sides by the coefficient of y?

• To find the slope

• To eliminate the coefficient

• To isolate y

• To simplify the equation

What is the result of dividing the coefficient of y by itself?

• It becomes zero

• It becomes one

• It remains the same

• It doubles

How do you write the final slope intercept form after dividing?

• y = mx + b

• y = 3x + 5

• y = -5/3x + 7/3

• y = 5x - 7

What is the purpose of converting standard form to slope intercept form?

• To isolate the y variable

• To simplify the equation

• To find the x-intercept

• To make graphing easier