Linear Equation Conversion Techniques

This video tutorial guides viewers through converting linear equations from standard form to slope-intercept form. It begins with an introduction to both forms, explaining the constants involved and the significance of slope and y-intercept. The instructor then demonstrates the conversion process with two examples, highlighting different methods and emphasizing the importance of isolating Y. The video concludes with encouragement to practice and engage with the content.

What are the constants in the standard form of a linear equation?

• M and B

• Slope and Intercept

• X and Y

• A, B, and C

In slope-intercept form, what does the variable M represent?

• Y-intercept

• Variable

• Slope

• Constant

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

• Add Y to both sides

• Divide by a constant

• Subtract X from both sides

• Multiply by a constant

After subtracting 4x from both sides, what is the next step to isolate Y?

• Add 4x

• Multiply by 2

• Divide by 2

• Subtract 2

What is the slope of the line after converting the equation 2y = -4x + 7 to slope-intercept form?

• -2

• 2

• -4

• 4

Which of the following is a valid alternative step in converting equations?

• Add 5y to both sides

• Multiply by 5

• Subtract 5y from both sides

• Divide by 5

Why might you choose to add 5y to both sides during conversion?

• To make the coefficient negative

• To make the coefficient positive

• To eliminate Y

• To eliminate X

What is the result of dividing -3x by -5 during conversion?

• 5/3

• -3/5

• -5/3

• 3/5

What is the final Y-intercept when converting the equation -5y = -3x + 10?

• 5

• -2

• -5

• 2

What is a key consideration when dividing by a negative number in equation conversion?

• Add the sign

• Multiply by the sign

• Ignore the sign

• Change the sign