Consider the following. x = 5 − 2t, y = 2 + 5t

Question

Eliminate the parameter and write the resulting rectangular equation whose graph represents the curve.

Answer 1

Since y = 2 + 5t, t = (y - 2) / 5

So, x = 5 - 2t = 5 - 2((y-2)/5)

x = 5 - (2/5)y + 4/5

x = 29/5 - (2/5)y

y = -(5/2)x + 29/2