Understanding Slope from Tables

The video tutorial explains how to determine the slope from a table of values. It begins with a definition of slope as the change in y-coordinates over the change in x-coordinates. The instructor demonstrates calculating the slope using several pairs of points from a table, showing that the slope remains constant. This consistency confirms the linearity of the data. The tutorial concludes by verifying the slope calculation and emphasizing the importance of the constant slope value.

What is the formula for calculating the slope?

• Change in x over change in y

• Product of x and y

• Sum of x and y

• Change in y over change in x

What is the first step in determining the slope from a table?

• Multiply all x values

• Find the sum of all y values

• Subtract the smallest x from the largest x

• Calculate the change in y and x between two points

What is the change in y when moving from point 1 to point 2?

• 260

• 520

• 780

• 1040

What is the change in x when moving from point 1 to point 2?

• 0

• 3

• 2

• 1

What is the slope calculated from the first two points?

• 390

• 260

• 130

• 520

What is the change in y when moving from point 2 to point 3?

• 780

• 1040

• 260

• 520

What is the change in x when moving from point 2 to point 3?

• 3

• 2

• 1

• 0

What is the slope calculated from the second set of points?

• 260

• 520

• 130

• 390

What is the change in y when moving from point 4 to point 5?

• 260

• 520

• 1040

• 780

What is the change in x when moving from point 4 to point 5?

• 0

• 1

• 3

• 2