Exploring the Concept of Slope

In this video tutorial, Jeff Jacobson explains how to find the slope of a line using any two points on the line. He begins by defining slope as a measure of steepness and a ratio of the change in y (rise) to the change in x (run). The video includes two examples: the first demonstrates finding the slope using two given points on a graph, and the second involves graphing points and calculating the slope. The tutorial emphasizes that the slope remains consistent regardless of the direction of calculation.

What is the slope of a line a measure of?

• The length of the line

• The steepness of the line

• The color of the line

• The width of the line

What is the term used for the change in the Y values?

• Rise

• Ratio

• Run

• Slope

How is slope generally represented?

• As a fraction

• As a sum

• As a difference

• As a product

Given points (0,0) and (3,4), what is the change in Y?

• 4

• 0

• 3

• 7

Given points (0,0) and (3,4), what is the slope of the line?

• 1/3

• 4/3

• 3/4

• 3/1

If you reverse the points (3,4) and (0,0), what happens to the slope?

• It becomes zero

• It doubles

• It remains the same

• It becomes negative

What is the simplified form of the slope for points (-2,-2) and (4,1)?

• 1/2

• 2/1

• 1/3

• 3/6

What is the slope of a horizontal line?

• Negative

• Undefined

• Zero

• Positive

What is the slope of a vertical line?

• Undefined

• Negative

• Zero

• Positive

Given points (-3,5) and (4,-6), what is the slope of the line?

• 1/7

• 1/2

• 7/1

• 1/1