Exploring Negative Slopes in Graphing Lines

The video tutorial explains how to find the slope of a line on a graph. It defines slope as the ratio of the change in y to the change in x, also known as rise over run. The tutorial provides examples of calculating slope using different points on the line, demonstrating that the slope remains consistent regardless of the points chosen. The video emphasizes understanding the concept of slope through practical examples and verification.

What is another way to define the slope of a line?

• Sum of x and y

• Product of x and y

• Change in y over change in x

• Difference between x and y

If you move from point A to point B on a line, what does the 'run' represent?

• Change in x

• Change in y

• Difference between x and y

• Sum of x and y

What is the change in x if you move from x = -3 to x = 0?

• 0

• 3

• -3

• 6

What is the change in y if you move from y = 3 to y = 2?

• -2

• 2

• -1

• 1

What is the slope if the change in y is -1 and the change in x is 3?

• -1/3

• 3

• -3

• 1/3

If you move from x = 3 to x = -3, what is the change in x?

• 0

• 3

• -6

• 6

What is the change in y if you move from y = 1 to y = 3?

• -1

• -2

• 2

• 1

What is the slope if the change in y is 2 and the change in x is -6?

• 1/3

• -1/3

• 2/6

• -2/6

What does the slope of a line represent?

• The steepness of the line

• The length of the line

• The midpoint of the line

• The area under the line

What remains constant for any two points on a line?

• The x-values

• The distance

• The y-values

• The slope