Finding Slope from a Graph: Test Your Knowledge

This video tutorial covers the second unit of an algebra intervention focused on linear functions. It begins with an introduction to linear functions and their graphing aspects. The lesson then delves into understanding slope as a rate of change, explaining how to calculate slope using two points on a graph. The tutorial provides examples of positive and negative slopes, highlighting the differences in line direction. It concludes with a discussion on special slopes, specifically horizontal and vertical lines, and their unique properties.

What is the main focus of the first part of the unit on linear functions?

• Solving linear equations

• Factoring polynomials

• Writing linear functions

• Graphing linear functions

How is the slope of a line defined?

• The ratio of vertical change to horizontal change

• The ratio of horizontal change to vertical change

• The difference between vertical and horizontal changes

• The sum of vertical and horizontal changes

In the first example, what is the slope of the line if the rise is 2 and the run is 1?

• 1

• 0

• 2

• 1/2

What is the slope of a line if the rise is -3 and the run is 4?

• -3/4

• 3/4

• -4/3

• 4/3

Why should slopes be left in fraction form?

• To ensure accuracy

• To make calculations easier

• To avoid rounding errors

• To simplify the graphing process

What is the characteristic of lines with positive slopes?

• They go down and to the right

• They go up and to the left

• They go down and to the left

• They go up and to the right

Which examples had lines with negative slopes?

• Examples 3 and 4

• Examples 1 and 4

• Examples 2 and 3

• Examples 1 and 2

What is the slope of a horizontal line?

• Negative

• Positive

• Zero

• Undefined

What is the slope of a vertical line?

• Undefined

• Zero

• Positive

• Negative

What happens to the slope when there is no horizontal movement?

• It becomes zero

• It becomes undefined

• It becomes positive

• It becomes negative