Understanding Linear Functions from Tables

This video tutorial teaches how to write a linear function from a table by identifying the slope and y-intercept. It includes two examples demonstrating the calculation of these components. The first example shows how to determine the slope and intercept using given points, while the second example emphasizes the importance of consistent slope for linearity. The video concludes with a check for accuracy and a prompt for further learning.

What are the two main components needed to write a linear function from a table?

• X-value and y-value

• Y-intercept and x-value

• Slope and y-intercept

• Slope and x-intercept

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CCSS.HSF-LE.A.1B

In Example 1, how do the x-values change?

• They increase by 6

• They increase by 5

• They increase by 3

• They increase by 2

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CCSS.8.EE.B.5

What is the slope of the line in Example 1?

• 3

• 2

• 1

• 4

How can you verify if the linear equation derived is correct?

• By checking if the slope is negative

• By substituting another x-value and checking the y-value

• By ensuring the x-values are consistent

• By checking if the y-intercept is zero

Tags

CCSS.HSF-LE.A.1B

What indicates a non-linear relationship in a table of values?

• Consistent change in y-values

• Inconsistent change in x-values

• Inconsistent rate of change

• Consistent rate of change

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CCSS.8.EE.B.5

In Example 2, what is the reduced form of the slope?

• 1/3

• 2/3

• 1/2

• 3/4

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CCSS.8.F.A.3

CCSS.8.EE.B.6

What is the y-intercept in the equation derived from Example 2?

• 0

• -6

• -3

• 3

How do you find the y-intercept when given a point and the slope?

• Add the slope to the y-value

• Divide the y-value by the slope

• Subtract the product of the slope and x-value from the y-value

• Multiply the slope by the x-value

What is the purpose of checking the equation with another x-value?

• To find a new slope

• To verify the equation's accuracy

• To change the y-intercept

• To adjust the x-values

Tags

CCSS.HSF-LE.A.1B

What should you do if the rate of change is not consistent?

• Adjust the y-intercept

• Recalculate the slope

• Conclude it's non-linear

• Change the x-values

Tags

CCSS.HSF-LE.A.1B