Question

Find the rectangular equation for the curve defined by the parametric equations x = t + 4 and y = 2.

A) y = 2x - 8
B) y = x^2 + 8x + 16
C) y = 22 + 16
D) y = 4x

Answer 1

To find the rectangular equation for the curve defined by the parametric equations x = t + 4 and y = 2, we need to eliminate the parameter t and express y in terms of x. The rectangular equation for the curve is y = 2.

Step-by-step explanation:

To find the rectangular equation for the curve defined by the parametric equations x = t + 4 and y = 2, we need to eliminate the parameter t and express y in terms of x.

We can start by solving the first equation for t, which gives us t = x - 4.

Then we can substitute this value of t into the second equation to find y in terms of x: y = 2.

Therefore, the rectangular equation for the curve is y = 2.