The algebra of lines with perpendicular gradients
- Greg Drury
The red and blue lines are at right angles - perpendicular. Play the animation and observe the gradient values. The relationship can be described as "negative inverse".
- What is the general equation of the red line?
- How could you express the "negative inverse" relationship using algebra?
- What is the general equation of the blue line?
- Given that the slider moves at a constant rate, why does the rotation accelerate and slow down in the animation?