Question

How do I do this, some plz help:

"Eliminate the parameter t and identify the graph of the parametric equations.

Given: x = 3t-2, y=t + 1, -∞ < t < ∞"

Answer 1

solve each for t
x = 3t-2 ----> t = (x+2)/3
y = t+1 -----> t = y-1

now equate (x+2)/3 to y-1 and simplify
You should be able to identify that function and its graph

Answer 2

Thank you for replying, but how do u equate (x+2)/3 to y-1

Answer 3

If t = (x+2)/3 and
t = y-1
the two "right sides" are equal to the same thing, so they are equal to each other.

(if Sam weighs 65 kg, and Bill weighs 65 kg, then Sam weighs the same as Bill)