Converting Tables to Equations and Graphs

The video tutorial explains how to identify and graph linear relationships using tables, equations, and graphs. It covers the concepts of y-intercept and rate of change, demonstrating how to match equations to tables and graph them. The tutorial also explores proportional relationships, emphasizing the multiplicative nature of these relationships and how to graph them effectively.

What does the 'b' value represent in the equation y = mx + b?

• The slope of the line

• The x-intercept

• The rate of change

• The y-intercept

How do you determine the rate of change from a table?

• By adding the x and y values

• By dividing the change in y by the change in x

• By finding the y-intercept

• By finding the difference in x values

What is the y-intercept in the equation y = 4x + 9?

• 4

• 9

• 1

• 0

If the rate of change is 4, what does this mean for the graph?

• The line decreases by 4 units for every 1 unit increase in x

• The line is vertical

• The line increases by 4 units for every 1 unit increase in x

• The line is horizontal

In the equation y = 0.5x + 10, what is the rate of change?

• 10

• 2

• 5

• 0.5

How do you graph a line with a rate of change of 0.5?

• Decrease y by 1 and x by 2

• Decrease y by 2 and x by 1

• Increase y by 2 and x by 1

• Increase y by 1 and x by 2

What does it mean if a relationship is proportional?

• The rate of change is zero

• The y-intercept is not zero

• The x-intercept is zero

• The y-intercept is zero

In a proportional relationship, if x = 5 and y = 15, what is the rate of change?

• 1

• 2

• 3

• 4

How do you graph a proportional relationship with a rate of change of 3?

• Increase y by 3 and x by 1

• Increase y by 1 and x by 3

• Decrease y by 3 and x by 1

• Decrease y by 1 and x by 3

If the y-intercept is zero, what type of relationship is it?

• Linear

• Non-linear

• Proportional

• Inverse