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Relating the Slope and Intercept of a Line to Its Graph

Compare the equations and graphs of lines after vertical shifts in this activity.

Task 1

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Task 2

The equations of two lines are and . How would the graphs of these lines be the same? How would they be different?

Task 3

Write the equation of a line with a -intercept of .