Exploring Slope from Graphs

The video tutorial explains how to determine the slope of a line from a graph. It begins with an introduction to the concept of slope and its formula, change in y over change in x, also known as rise over run. The tutorial then describes the positive and negative directions on the y-axis and x-axis. It emphasizes the importance of choosing points on the corners of graph boxes for accuracy. The video provides step-by-step examples of calculating slope, demonstrating how to move between points on a graph. It also introduces the use of delta notation for representing change in slope calculations.

What is the formula for calculating the slope of a line?

• Change in x over change in y

• Product of x and y

• Change in y over change in x

• Sum of x and y

Which axis represents the up-down direction?

• W-axis

• Y-axis

• Z-axis

• X-axis

If you move to the right on a graph, which direction is this in terms of x?

• Negative x direction

• Positive x direction

• Negative y direction

• Positive y direction

When choosing points to calculate slope, where should the points ideally be located?

• At the midpoint of the line

• On the corner of the boxes

• At the center of the boxes

• Anywhere on the line

In the first example, what is the slope if the change in y is -2 and the change in x is 1?

• 2

• -1

• 1

• -2

In the second example, what is the slope if the change in y is -7 and the change in x is -4?

• -4/7

• 4/7

• -7/4

• 7/4

What happens when you divide two negative numbers?

• The result is negative

• The result is undefined

• The result is positive

• The result is zero

What is the Greek letter used to represent change in mathematics?

• Delta

• Alpha

• Beta

• Gamma

In the final example, what is the slope if the change in y is -3 and the change in x is -1?

• -3

• 3

• -1/3

• 1/3

What is another way to express the formula for slope?

• Sum of delta y and delta x

• Delta x over delta y

• Product of delta y and delta x

• Delta y over delta x