Converting Linear Equations: Slope Intercept to Standard Form

This video tutorial guides viewers through the process of converting linear equations from slope-intercept form to standard form. It provides step-by-step examples, emphasizing the importance of moving the x-term and eliminating fractions using the least common denominator. The tutorial concludes with tips on simplifying equations and ensuring all terms are integers.

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

• Add fractions to both sides

• Move the x term to the same side as y

• Multiply both sides by the least common denominator

• Isolate the y variable

In the first example, what is the result after moving the x term to the same side as y?

• 2/3x + y = 7

• y = 7

• -2/3x + y = 7

• x + y = 7

What is the least common denominator used in the first example?

• 3

• 5

• 2

• 7

In the second example, what is the least common denominator for the fractions 1/3 and 2/5?

• 8

• 3

• 5

• 15

After multiplying both sides by the least common denominator in the second example, what is the resulting equation?

• x + y = 1/3

• 6x + 15y = 5

• 3x + 5y = 15

• 2x + 3y = 5

In the third example, what is the least common denominator for the fractions 1/2 and 3/4?

• 2

• 4

• 16

• 8

Why is it unnecessary to multiply both sides by 8 in the third example?

• It would make the equation incorrect

• It would introduce an extra factor of 2

• It would result in a larger equation

• It would not eliminate the fractions

What is the final equation after converting the third example to standard form?

• 2x + 4y = 3

• -2x + 4y = 3

• -2x + y = 3

• x + y = 3

What is the importance of using the least common denominator when converting equations?

• It simplifies the equation

• It makes the equation more complex

• It is not important

• It introduces more fractions

What should you do if you have questions after watching the video?

• Ask a friend

• Rewatch the video

• Ignore the questions

• Leave questions in the comments