Linear Functions and Their Graphs

The video tutorial explains how to calculate and plot Y values based on given X values using different mathematical rules. It covers the concept of dependent variables, demonstrates plotting linear graphs with rules like Y = 2X - 6 and Y = 2X - 10, and shows how to plot a flat line graph with Y = 0X + 7. The tutorial concludes with plotting a parabola using the rule Y = X^2, emphasizing the importance of understanding dependent variables in graphing.

What does the rule Y = X - 3 imply about the relationship between X and Y?

• Y is independent of X.

• Y is always 3 more than X.

• Y is always 3 less than X.

• Y is equal to X.

If X is 5, what is the value of Y using the rule Y = X - 3?

• 3

• 2

• 5

• 8

What kind of graph is formed by the points calculated using Y = X - 3?

• A straight line with a negative slope

• A vertical line

• A horizontal line

• A parabola

How do you calculate Y using the rule Y = 2X - 6?

• Multiply X by 2 and subtract 6

• Subtract 2 from X and add 6

• Multiply X by 2 and add 6

• Add 2 to X and subtract 6

What is the Y value when X is 8 using the rule Y = 2X - 6?

• 16

• 10

• 12

• 14

What does the graph of Y = 0X + 7 look like?

• A vertical line

• A horizontal line

• A diagonal line

• A curve

What does a horizontal line graph indicate about the Y values?

• Y values increase with X

• Y values decrease with X

• Y values remain constant

• Y values are random

Using the rule Y = 2X - 10, what is the Y value when X is 5?

• 15

• 10

• 5

• 0

What kind of graph is formed by the rule Y = 2X - 10?

• A horizontal line

• A parabola

• A vertical line

• A straight line with a positive slope

What is the Y value when X is 3 using the rule Y = X + 3?

• 9

• 12

• 3

• 6