Below are 2 lines made using the generic y=mx+b using sliders. Play with the sliders to see when the two lines are parallel (when they don't intersect ever) and when they are perpendicular (when they intersect at 90 degrees). The lines will be parallel when they have the same slope, but their y-intercepts can be different. The lines will be perpendicular when their slopes are negative reciprocals, and again the y-intercepts can be different.

1. Determine the equation of a line parallel to the given line through the given red point. Input your equation into the input bar to see if it looks correct. click the "show parallel line" box to see if you are correct. 2. Determine the equation of a line perpendicular to the given line through the given red point. Input your equation into the input bar to see if it looks correct. click the "show perpendicular line" box to see if you are correct. Move the red point and/or the line parameters and try another problem.