Calculating Slope from Changes

The video tutorial explains how to find the slope from a table of x and y values. It begins with an introduction to the concept of slope as the change in y divided by the change in x. The tutorial provides examples with consistent and varying changes in y and x values, demonstrating how to calculate the slope in each case. It concludes with practice problems for viewers to apply what they've learned.

What is the slope of a line if the change in Y is 2 and the change in X is 1?

• 1

• 2

• 1/2

• 3

In the example with X values 2, 4, 6, 8 and Y values 0, 3, 6, 9, what is the slope?

• 3

• 2/3

• 3/2

• 1

When changes in X and Y are not consistent, how should you calculate the slope?

• Use the average change

• Calculate piecewise

• Use only the first change

• Ignore inconsistent changes

If the change in Y is 6 and the change in X is 9, what is the simplified slope?

• 2/3

• 3/4

• 1

• 1/2

In the practice example, what is the slope if Y changes from -3 to 0 and X changes from 1 to 7?

• 1/2

• 3/4

• 1

• 2

What is the slope when Y changes by 6 and X changes by 8?

• 1

• 1/2

• 2/3

• 3/4

In the final example, what is the slope when Y changes from -16 to -10 and X changes from -12 to -4?

• 2/3

• 1

• 1/2

• 3/4

How do you simplify the fraction 4/6 to find the slope?

• 1

• 2/3

• 3/4

• 1/2

What is the slope when Y changes by 3 and X changes by 4?

• 3/4

• 1

• 1/2

• 2/3

In the final example, what is the slope when Y changes from -7 to -1 and X changes from 0 to 8?

• 1

• 3/4

• 1/2

• 2/3