Converting Standard Form to Slope Intercept Form

The video tutorial explains how to convert a given equation into slope-intercept form. It begins by introducing the problem and the goal of isolating the Y variable. The teacher guides through the process of using inverse operations to solve for Y, emphasizing the importance of correctly ordering terms. The final solution is presented in slope-intercept form, demonstrating the separation of the MX and B components.

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

• Isolate the y variable

• Divide all terms by the coefficient of y

• Add x to both sides

• Subtract x from both sides

What does isolating the y variable help achieve in an equation?

• Standard form

• Slope-intercept form

• Quadratic form

• Point-slope form

What operation is performed first when solving for y?

• Multiplication

• Subtraction

• Division

• Addition

After subtracting 2x, how is the equation written?

• -3y = 8 - 2x

• -3y = -2x + 8

• 3y = -2x - 8

• 3y = 2x + 8

What is the coefficient of y after rearranging the equation?

• -2

• 3

• -3

• 2

What is the next step after rearranging the equation to -3y = -2x + 8?

• Add 3 to both sides

• Multiply both sides by -3

• Subtract 3 from both sides

• Divide both sides by -3

Why do we divide both -2x and 8 by -3?

• To simplify the equation

• To separate the MX and B

• To eliminate the y variable

• To isolate x

How is the term 8 treated in the final step of achieving slope-intercept form?

• Divided by -3

• Multiplied by -3

• Added to -2x

• Subtracted from -2x

What is the final form of the equation in slope-intercept form?

• y = -2x/-3 + 8/-3

• y = 2/3x - 8/3

• y = -2/3x - 8/3

• y = 2/3x + 8/3

What is the significance of the slope-intercept form in linear equations?

• It allows for easy graphing of the equation

• It simplifies complex algebraic expressions

• It eliminates the need for a graph

• It is used for quadratic equations