Relating the Slope and Intercept of a Line to Its Graph
Compare the equations and graphs of lines after vertical shifts in this activity.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
The equations of two lines are and . How would the graphs of these lines be the same? How would they be different? What else do you notice? Be specific.
Write the equation of a line with a -intercept of and a slope of in slope-intercept form .
What do you notice about the original and the transformed (new) line?