Understanding T-Tables and Linear Equations

The video tutorial explains how to create and fill a T-table for linear equations. It begins by introducing the components of a linear equation, such as slope, input, and output variables, and constants. The tutorial then demonstrates how to fill a T-table by selecting values for X, calculating the corresponding Y values, and forming ordered pairs. It provides examples using both positive and negative X values, highlighting the effect of the slope on the output. The video also outlines the rules for creating a T-table, emphasizing the importance of understanding coefficients and constants.

What is the role of the number 'three' in the equation 3X + 2 = Y?

• It is the slope.

• It is the constant.

• It is the input variable.

• It is the output variable.

When X is 1 in the equation 3X + 2 = Y, what is the value of Y?

• 5

• 4

• 6

• 3

What is the first step in creating a T-table for a linear equation?

• Solve for Y.

• Pick a value for X.

• Graph the equation.

• Find the slope.

If X is 2 in the equation 3X + 2 = Y, what is the resulting Y value?

• 6

• 7

• 9

• 8

How does the slope affect the change in Y values in a T-table?

• Y remains constant.

• Y increases by the slope value.

• Y decreases by the slope value.

• Y doubles.

What is the Y value when X is -2 in the equation 3X + 2 = Y?

• -6

• -8

• -2

• -4

What operation is performed when a coefficient is next to a variable?

• Multiplication

• Division

• Subtraction

• Addition