Understanding Slope and Rate of Change

The video tutorial explains how to find the average rate of change using a table. It begins by identifying the interval and points from the table, then applies the slope formula to calculate the average rate of change. The process is broken down into simple steps, making it easy to follow and understand.

What is the first step in finding the average rate of change using a table?

• Identifying the interval

• Calculating the slope

• Finding the midpoint

• Drawing a graph

Which x-values define the interval in the given example?

• -5 and 2

• -5 and -2

• 5 and -2

• 2 and -5

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CCSS.6.NS.C.6B

What are the coordinates of the first point identified in the table?

• (-5, 0)

• (-2, 6)

• (-2, 0)

• (-5, 6)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the second point identified in the table?

• (-5, 0)

• (-2, 6)

• (-5, 6)

• (-2, 0)

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CCSS.8.EE.B.5

What is the formula for calculating the slope?

• (y1 + y2) / (x1 + x2)

• (y1 - y2) / (x1 - x2)

• (y2 - y1) / (x2 - x1)

• (y2 + y1) / (x2 + x1)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the value of y2 in the given example?

• 6

• 0

• -2

• -5

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CCSS.8.EE.B.5

What is the result of 0 minus 6 in the slope calculation?

• 6

• -6

• 0

• -5

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CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the average rate of change for the interval in the example?

• 3

• -2

• -3

• 2

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CCSS.8.F.B.4

CCSS.HSF.IF.B.6