Finding Linear Equations from Function Tables

What is the first step in finding the equation that represents the relationship between X and Y values in a table?

• Plug in values into the equation format

• Identify changes in Y over changes in X

• Determine the slope

• Calculate the Y-intercept

How is the slope (M value) of a linear equation determined?

• By dividing the change in Y by the change in X

• By adding the changes in Y and X

• By multiplying the changes in Y and X

• By dividing the change in X by the change in Y

What does the symbol Δ (Delta) represent in the context of linear equations?

• The change in variables

• The sum of variables

• The multiplication of variables

• The division of variables

What is the slope (M value) when the change in Y is 9 and the change in X is 1?

• 1

• 9

• 8

• 10

In the equation y = mx + b, what does 'm' stand for?

• The variable

• The slope

• The X-intercept

• The Y-intercept

How do you calculate the Y-intercept (B value) of a linear equation?

• By subtracting the product of the slope and X value from Y

• By adding the slope to the Y value

• By multiplying the slope with the X value

• By dividing the Y value by the slope

What is the Y-intercept (B value) when Y is 8, M is 9, and X is 1?

• 0

• -1

• 8

• 1

What is the correct format for expressing a linear equation?

• Y = B + MX

• Y = X/M + B

• Y = M/B + X

• Y = MX + B

How can you verify if a linear equation correctly represents the relationship between X and Y values?

• By substituting the X value in the equation

• By calculating the slope again

• By drawing a graph

• By checking if the equation is in y = mx + b format

What is the M value when the increase in Y is 0.5 for every 1 unit increase in X?

• 0.5

• 2

• 0.25

• 1