You can manipulate Lines 1 and 2 by moving the corresponding sliders. Please answer the questions below.

(1.) Leave the sliders for Line 2 as is. Move the sliders for Line 1 until the two lines are perpendicular. Do you see a relationship between the equations of the two lines?[br](2.) Move the sliders for Line 2 so that the equation is y = 2x - 1. Move the sliders for Line 1 until the two lines are perpendicular. Do you see the same relationship as you did in #1? [br](3.) Make a general conclusion about the relationship of the equations of perpendicular lines.[br](4.) Move the sliders for Line 2 so that the equation is y = 4x - 1. Make a prediction as to what the equation of Line 1 should be so that the two lines are perpendicular. Test your prediction.[br](5.) Move the sliders for Line 2 so that the equation is y = 3x - 1. Make a prediction as to what the equation of Line 1 should be so that the two lines are perpendicular. Test your prediction. Can you find any perpendicular line? Why or why not?