Exploring Slope-Intercept Form

This video tutorial explains how to solve linear equations in the form y = mx + b, known as slope-intercept form. It covers isolating the y variable, solving the equation by undoing addition, subtraction, multiplication, and division, and rearranging terms to achieve the desired form. The tutorial also emphasizes the importance of maintaining the correct signs when rearranging terms and provides tips for simplifying fractions.

What is the first step in solving a linear equation in the form y = mx + b?

• Identifying the intercept

• Graphing the line

• Finding the slope

• Isolating y

What do we undo first when isolating y?

• Exponentiation

• Addition or subtraction

• Multiplication or division

• Square root

How do we move the term 2x when isolating y?

• By dividing both sides by 2x

• By multiplying both sides by 2x

• By subtracting 2x from both sides

• By adding 2x to both sides

What operation is used to isolate y after moving the 2x term?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of dividing 3y by 3?

• 3y

• 1y

• 0

• y

What is the next step after isolating y?

• Graphing the equation

• Finding the slope

• Identifying the intercept

• Splitting apart the fraction

How do you split apart the fraction 3/3?

• By adding 3 to both sides

• By subtracting 3 from both sides

• By multiplying 3 by 3

• By dividing 3 by 3

What is the final step in rearranging the equation to y = mx + b form?

• Identifying the slope

• Identifying the intercept

• Rearranging terms

• Graphing the equation

What must you keep in mind when rearranging terms in the equation?

• The sign of the terms

• The graph of the equation

• The value of the slope

• The value of the intercept

What form is the equation in after rearranging to y = mx + b?

• Point-slope form

• Slope-intercept form

• Standard form

• Quadratic form