Line a has a y intercept of A. You can change the slope and placement of line a by moving Point B. Use the checkboxes to show a line parallel to line a through point C. You can move this line by dragging point C.
1. What do you notice about the equations of the two parallel lines. What changes in the equation as you drag B? What remains the same in both equations? What changes as you drag C? What remains the same?
Uncheck the box to show the parallel line and check the box to show a perpendicular line. Again, you can adjust the perpendicular line by dragging C.
2. What do you notice about the equations of the two parallel lines. What changes in the equation as you drag B? What remains the same in both equations? What changes as you drag C? What remains the same?
3. Is there a relationship between the slopes of these lines? Use the hint or make the slope of A into an integer to help.