Connecting Representations of Lines

Activity

• Work through page individually
• Discuss as group - fix errors in thinking

What is the connection?

• What is the change from one figure to another?
• How does that relate to the graph of the line?
• What is the first difference?

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• What is the initial value from the table?
• This is often called the y-intercept

Slope

• The rate of change in the line is often �called the slope
• It measures the steepness of the line
• It is the ratio of the difference in y-values �(height) to the difference in x-values �(width) of any two points on the line

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• What does it mean for the slope to be positive? negative? zero? undefined?

Equation of Line

• To connect the x-values (horizontal values) to the y-values (vertical values) we see that

y = stuff that changes + stuff that doesn’t change

y = rate of change x number of changes + stuff that doesn’t change

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Practice

• Additional practice with applications