Converting Point-Slope to Slope-Intercept Form

The video tutorial explains how to simplify equations using distribution and combining like terms. It provides four examples, each demonstrating different scenarios such as dealing with parentheses, fractional coefficients, and negative coefficients. The goal is to isolate the variable y by simplifying both sides of the equation, using addition or subtraction to eliminate terms, and dividing if necessary.

What should you do if you see parentheses in an equation?

• Distribute

• Combine like terms

• Add constants

• Subtract variables

What is the first step in solving the equation in Example 1?

• Combine like terms

• Subtract variables

• Add constants

• Distribute

In Example 1, what do you get when you distribute 2 times -4?

• -10

• -2

• -6

• -8

What is the final simplified form of y in Example 1?

• y = -2x - 13

• y = -2x + 13

• y = 2x - 13

• y = 2x + 13

In Example 2, what do you get when you distribute 3 times 2?

• 3

• 6

• 5

• 8

What is the final simplified form of y in Example 2?

• y = 3x - 10

• y = 3x - 6

• y = 3x + 10

• y = 3x + 6

In Example 3, what is one half of 4?

• 2

• 1

• 4

• 3

What is the final simplified form of y in Example 3?

• y = 1/2x

• y = 1/2x - 2

• y = 2x

• y = 1/2x + 2

In Example 4, what is two-thirds of -6?

• -5

• -4

• -3

• -2

What is the final simplified form of y in Example 4?

• y = 2/3x + 4

• y = 2/3x + 3

• y = 2/3x - 4

• y = 2/3x - 3