Parameterize. playing with time steps
To parameterize the line that takes 4 time steps to travel from (0,5) to (20, 1), put t = 0 at (0,5) and t = 4 at (20,1).
Look at x and t. When t = 0 we have x = 0 and when t = 4 we have x = 20.
The intercept is 0 and the slope is .
the equation for x becomes
x = 0 + 5t = 5t.
Now look at y and t. When t = 0 we have y = 5 and when t = 4 we have y = 1.
The intercept is 5 and the slope is
The equation for y is
y = 5-1t = 5-t.