Finding Slope from a Table: Key Concepts and Problems

The video tutorial explains how to find the slope from a table by examining changes in y and x values. It covers various problems, including constant and non-constant changes, negative slopes, and using slopes to predict future points and find the zeroth term. The tutorial emphasizes understanding the ratio of changes and comparing slopes for consistency.

What is the definition of slope?

• A ratio of the change in x over the change in y

• A ratio of the change in y over the change in x

• A ratio of the change in y over the change in z

• A ratio of the change in z over the change in x

How do you find the change in y from 5 to 7?

• Divide 7 by 5

• Multiply 5 by 2

• Add 2 to 5

• Subtract 5 from 7

What is the slope for a table where y changes by +2 and x changes by +1?

• 4

• 3

• 2

• 1

If y changes by +6 and x changes by +2, what is the slope?

• 4

• 3

• 2

• 1

What is the slope for a table where y changes by -4 and x changes by +3?

• 3/4

• -3/4

• 4/3

• -4/3

How do you find the next y value if the current y is 9 and the slope is -4/3?

• Divide 9 by 4

• Add 4 to 9

• Subtract 4 from 9

• Multiply 9 by 4

What is the zeroth term if the y values change by +3 and the first term is 11?

• 8

• 6

• 5

• 7

What is the slope for a table where y changes by +8 and x changes by +2?

• 3

• 5

• 4

• 2

How do you find the zeroth term if the y values change by +8 and the first term is 5?

• 4

• 3

• 2

• 1

What is the slope if y changes by -4 and x changes by -1?

• 4

• 3

• 1

• 2