How can we explain equations for lines through the origin?

1) Play with the buttons to see what they do![br][br]2) Put the third (alpha) button in the 0 degree position. [br][br]3) Put the second button C in a fixed position, and vary the first X button to a bunch of different values. Answer and discuss:[br][br] How many of the X cm strip does it take to make the Y cm strip exactly?[br] What does C tell you about how X and Y are related?[br] See if you can write and explain an equation that relates X and Y.[br][br]4) Now move the third (alpha) button to the 90 degree position and repeat part 3.[br][br]5) Repeat parts 2, 3, and 4 but with a different fixed value for C.[br][br]6) Continue to repeat parts 2, 3, and 4 with different fixed values for C.[br][br]7) Discuss: what kinds of equations do lines through (0,0) have and why do they have that kind of equation?[br][br] 

Information: How can we explain equations for lines through the origin?