Question

Consider the parametric equations x = 3t - 5 and y = 2t + 3 how do you eliminate the parameter to find a Cartesian equation of the curve?

Answer 1

`y = 2/3 x + 19/3`

Explanation:

from `x = 3t - 5` you have `t = (x+5)/3`

putting that into `y = 2t + 3` yields `y = 2 * (x+5)/3 + 3`

`y = 2/3 x + 19/3`