Understanding Slope of a Line

The video tutorial explains how to determine the slope of a line on a graph. It introduces the concept of slope as the ratio of vertical change to horizontal change, also known as rise over run. The tutorial identifies two points on the line with integer coordinates and demonstrates how to calculate the slope using both the vertical and horizontal changes and the slope formula. The slope is calculated to be 1/2 using both methods. The video concludes by summarizing the process and mentioning a second example in the next video.

What is the slope of a line defined as?

• The ratio of horizontal change to vertical change

• The difference between vertical and horizontal changes

• The sum of vertical and horizontal changes

• The ratio of vertical change to horizontal change

Which of the following is a correct pair of integer coordinates identified in the video?

• (1, 2) and (3, 4)

• (-2, -2) and (4, 1)

• (2, 3) and (6, 7)

• (0, 0) and (5, 5)

How many units do you move vertically and horizontally to calculate the slope using the rise over run method?

• Up 4 units and right 7 units

• Up 3 units and right 6 units

• Up 2 units and right 5 units

• Up 5 units and right 8 units

What is the simplified slope of the line when using the rise over run method?

• 3/4

• 1/2

• 2/3

• 1/3

What is the formula for calculating the slope using two points?

• (Y1 - Y2) / (X1 - X2)

• (X2 - X1) / (Y2 - Y1)

• (Y2 - Y1) / (X2 - X1)

• (X1 - X2) / (Y1 - Y2)

What is the result of the calculation 1 - (-2) in the slope formula?

• 4

• 1

• 2

• 3

What is the result of the calculation 4 - (-2) in the slope formula?

• 6

• 5

• 4

• 7

What is the final slope of the line using the slope formula?

• 1/3

• 3/4

• 2/3

• 1/2

Which method can be used to determine the slope of a line?

• Both rise over run and slope formula

• Neither method

• Only the slope formula

• Only the rise over run method

What will be covered in the next video?

• An introduction to graphing lines

• A review of previous concepts

• A second example of slope calculation

• A third example of slope calculation