Solving Literal Equations for y

The video tutorial covers the process of rewriting literal equations into slope-intercept form, focusing on isolating the y-value. It provides multiple examples demonstrating how to manipulate equations by performing operations such as addition, subtraction, and division to achieve the desired form. The tutorial emphasizes understanding the alignment of terms and the importance of maintaining the equation's balance. By the end, viewers should be able to solve equations for y and express them in the form y = mx + b.

What is the main goal when rewriting literal equations in slope-intercept form?

• To isolate the y-value

• To eliminate fractions

• To combine like terms

• To isolate the x-value

In the example provided, what is the first step to isolate y?

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 4x from both sides

• Add 4x to both sides

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

• Add 12 to both sides

• Subtract 12 from both sides

• Divide every term by -2

• Multiply every term by -2

In the first example, what operation is performed to isolate y when given x + y = -15?

• Divide both sides by x

• Add x to both sides

• Subtract x from both sides

• Multiply both sides by x

In the second example, what is the inverse operation of a positive 8x?

• Divide by 8

• Multiply by 8

• Subtract 8x

• Add 8x

What is the final step to isolate y in the equation 2y + 8x = 1?

• Divide every term by 2

• Multiply every term by 2

• Subtract 8x from both sides

• Add 8x to both sides

In the third example, what operation is performed to isolate y when given y - 4 = -3x + 9?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

What is the result of dividing every term by 3 in the equation 3y = 2x + 9?

• y = 2/3x + 3

• y = 3x + 2/3

• y = 2x + 3

• y = 3x + 9

In the final example, what is the result of applying the distributive property to -3(x - 3)?

• -3x + 3

• -3x - 9

• 3x - 9

• -3x + 9

What is the final form of the equation y - 4 = -3(x - 3) after isolating y?

• y = 3x + 13

• y = 3x - 9

• y = -3x + 13

• y = -3x + 9