Slope Calculation from Points and Tables

This video tutorial is part two of a four-part series on calculating the rate of change or slope of linear functions. It covers the objectives of calculating the slope from two points and from a table of values. The video explains the concept of slope as the rise over run and demonstrates how to use the slope formula. It provides examples of calculating slope using both points and tables, and discusses special cases like horizontal and vertical lines. The tutorial concludes with a summary of methods and encourages practice.

What is the general definition of slope?

• The angle between two lines

• The midpoint of a line segment

• The measure of how steep or slanted a line is

• The distance between two points on a line

Which formula represents the slope of a line given two points (x1, y1) and (x2, y2)?

• (y2 - y1) / (x2 - x1)

• (x2 - x1) / (y2 - y1)

• (y1 - y2) / (x1 - x2)

• (x1 - x2) / (y1 - y2)

In Example 1, what is the slope of the line passing through the points (3, 7) and (-1, 12)?

• 5/4

• -4/5

• 4/5

• -5/4

What is the change in y-values when moving from 7 to 12?

• 5

• -5

• 4

• -4

In Example 2, what is the simplified slope of the line passing through the points (5, 9) and (-3, 13)?

• -2

• -1/2

• 1/2

• 2

What is the change in x-values when moving from 5 to -3?

• 4

• -4

• -8

• 8

In Example 3, what is the slope of the line represented by the table if the change in y is 6 and the change in x is 4?

• 3/2

• 4/3

• 2/3

• 6/4

What is the slope of a horizontal line?

• Positive

• Undefined

• Negative

• Zero

What is the slope of a vertical line?

• Zero

• Undefined

• Positive

• Negative

Why is the slope of a vertical line undefined?

• Because the line is diagonal

• Because the change in x is zero

• Because the change in y is zero

• Because the line is horizontal