Exploring Linear Functions

In this activity, you will explore the effects of slope and y-intercept on linear functions. If you have any questions, please ask your teacher. [br][br]**Recall**[br]Parallel lines never intersect.[br]Perpendicular lines intersect at a 90 degree angle.
1. Explore the m and n sliders. Record observations of the changes in the two lines as you experiment with different slopes. [br]2. Describe the two lines when the slopes are the same. What do we call these types of lines?[br]3. Describe the relationship between the lines when the angle between the lines is 90 degrees. [br]4. Describe the relationship between the lines when the angle between the lines is 0 degrees. [br]5. What happens to the lines when we adjust the "b" slider values? In the y-intercept form of equations, what is the name of this value?[br]6. Click the Challenge Problem. Adjust the slope and y-intercepts of your lines to model the image displayed. Record your values.

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