Isolating y in Linear Functions

The video tutorial by Miss B covers the transformation of equations from point-slope and standard forms to slope-intercept form. It provides step-by-step instructions on distributing terms, isolating variables, and handling fractions. The tutorial emphasizes the importance of isolating 'y' and offers tips for avoiding common mistakes. The video concludes with a call to practice the examples independently.

What does the standard form of an equation look like?

• y = mx + b

• y - y1 = m(x - x1)

• ax + by = c

• x = y + c

What is the slope-intercept form of an equation?

• ax + by = c

• x = my + b

• y - y1 = m(x - x1)

• y = mx + b

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

• Subtract the constant

• Distribute the equation

• Isolate y

• Divide by the coefficient of x

What is the slope of the line represented by the equation y = -1/5x - 2?

• 2

• -1/5

• 1/5

• -2

How do you isolate y in a standard form equation?

• Add x to both sides

• Subtract x from both sides

• Multiply by the coefficient of x

• Divide by the coefficient of y

What is the result of converting x + 4y = 12 to slope-intercept form?

• y = 1/4x - 3

• y = -1/4x + 3

• y = 1/2x - 6

• y = -1/2x + 6

What is the correct conversion of x - 2y = -4 to slope-intercept form?

• y = -1/2x - 2

• y = 1/2x + 2

• y = -1/2x + 2

• y = 1/2x - 2

Why is converting to slope-intercept form considered a valuable skill?

• It is the only form used in algebra

• It makes graphing easier

• It is required for calculus

• It simplifies equations

What happens when you divide both sides of an equation by a negative number?

• The equation remains unchanged

• The equation becomes undefined

• The signs of all terms are reversed

• The slope of the equation increases

When converting a complex equation to slope-intercept form, what is the primary goal?

• To eliminate all variables but y

• To isolate y on one side of the equation

• To ensure the equation has no negative numbers

• To convert all fractions to whole numbers