Converting Slope-Intercept to Standard Form in Algebra

This video tutorial explains how to convert linear equations from slope-intercept form to standard form. It provides step-by-step examples, including handling equations with fractions and different denominators. The tutorial emphasizes moving terms to one side and adjusting signs, offering practice problems to reinforce learning.

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

• Divide by the coefficient of x

• Isolate the constant on one side

• Move both variables to the left side

• Multiply by the least common multiple

In the equation y = 3x - 4, what sign does 3x take when moved to the left side?

• Remains positive

• Becomes negative

• Is multiplied by -1

• Is divided by 2

When converting y = -4x + 5 to standard form, what operation is performed?

• Divide by 4

• Subtract 4x from both sides

• Add 4x to both sides

• Multiply by -1

What is the standard form of y = -4x + 5?

• y - 4x = 5

• 4x - y = -5

• -4x - y = -5

• 4x + y = 5

How do you eliminate fractions in a linear equation before converting it to standard form?

• Subtract the denominator from both sides

• Multiply both sides by the denominator

• Divide both sides by the numerator

• Add the denominator to both sides

After eliminating fractions, what is the next step in converting to standard form?

• Multiply by -1 if necessary

• Isolate the constant on the right

• Combine like terms

• Move all variables to the left

What is the purpose of multiplying everything by -1 in the conversion process?

• To simplify the equation

• To eliminate fractions

• To make the leading coefficient positive

• To isolate the constant

What is the result of converting y = 3/5x + 4/7 to standard form after multiplying by 35?

• 21x + 35y = 20

• 21x - 35y = -20

• -21x + 35y = 20

• 35y - 21x = 20

When faced with two fractions in a linear equation, what should you multiply by?

• A common multiple of the denominators

• The denominator of the second fraction

• The numerator of the first fraction

• The sum of the denominators

In converting y = 2x - 4/3 to standard form, what is the first step?

• Multiply everything by 3

• Divide everything by 2

• Subtract 2x from both sides

• Add 2x to both sides