Finding Y-Intercepts and Coefficients

The video tutorial explains how to match tables with equations by substituting values for x and checking if the resulting y values match. It covers the process of verifying equations for different tables, understanding coefficients as the constant rate of change, and finding Y-intercepts by identifying the value of y when x is zero.

What is the first step in matching a table with an equation?

• Guess the equation

• Check the y-intercept

• Substitute values of x into the equations

• Look at the graph

If x = 1 and y = 3, which equation matches this table?

• 3x

• 4 + 2x

• 4x + 2

• 2x + 1

What is the result of substituting x = 1 into the equation 4x + 2?

• 6

• 3

• 8

• 4

Which equation matches the table where x = 0 and y = 2?

• 3x

• 4x + 2

• 2x + 1

• 4 + 2x

What is the y value when x = 0 for the equation 4 + 2x?

• 2

• 6

• 4

• 8

Which equation matches a table where x = 0 and y = 4?

• 2x + 1

• 4 + 2x

• 4x + 2

• 3x

How do you determine the coefficient in a table?

• By looking at the y-intercept

• By finding the constant rate of change

• By guessing

• By checking the x values

What is the coefficient if x increases by 1 and y increases by 3?

• 2

• 3

• 4

• 1

In a table where x increases by 1 and y increases by 4, what is the coefficient?

• 4

• 2

• 1

• 3

What is the constant rate of change if x increases by 1 and y increases by 2?

• 3

• 4

• 2

• 1