Understanding Linear Equations and Values

The video tutorial demonstrates how to create a table of values for the equation 4Y = 5x + 20 by selecting specific X values (-2, -1, 0, 1, 2) and calculating the corresponding Y values. Each calculation involves substituting the X value into the equation, simplifying the expression, and recording the result in a table. The tutorial provides a step-by-step approach to understanding how changes in X affect Y, offering a clear method for solving linear equations and creating coordinate points.

What is the purpose of creating a table of values for the equation 4Y = 5x + 20?

• To understand the relationship between X and Y values

• To solve for X when Y is zero

• To determine the slope of the line

• To find the roots of the equation

What is the Y value when X is -2 in the equation 4Y = 5x + 20?

• 20

• 15/4

• 10

• 5/2

Calculate the Y value for X = -1 in the equation 4Y = 5x + 20.

• 25/4

• 10/4

• 15/4

• 5

What is the Y value when X is 0 in the equation 4Y = 5x + 20?

• 0

• 5

• 20

• 10

For X = 1, what is the Y value in the equation 4Y = 5x + 20?

• 5

• 10

• 25/4

• 15/2

Determine the Y value for X = 2 in the equation 4Y = 5x + 20.

• 25/4

• 15/2

• 5

• 30

What does the table of values for the equation 4Y = 5x + 20 represent?

• A list of solutions for Y

• The intersection points with the axes

• A set of coordinate points for a line

• The maximum and minimum values of Y

How does the equation 4Y = 5x + 20 change when X is increased by 1?

• Y remains the same

• Y decreases by 5

• Y increases by 5

• Y increases by 5/4

What is the simplified form of Y when X = 2 in the equation 4Y = 5x + 20?

• 15/2

• 30/4

• 25/4

• 10/2