For the parametric curve: x = 3t + 8, y = 12t + 9, eliminate the parameter and express in rectangular form.
A) y = 4x + 23
B) y = 4x - 41
C) y = 4x - 23
D) y = 3x - 41
E) y = 36x - 23

Question

Quizplus · Accepted Answer

To eliminate the parameter t, we can solve for t in the first equation and substitute into the second equation: 
x = 3t + 8  ->  t = (x - 8)/3
y = 12t + 9  ->  y = 12[(x - 8)/3] + 9
Simplifying, we get: 
y = 4x - 23 
Therefore, the answer is choice C.

For the Parametric Curve: X = 3t + 8, Y