Question

The parametric curve given by x = (7t + 4)2, y = (7t + 4)2 − 10 for 0 ≤ t ≤ 3 is a line segment. True or False?

Answer 1

I don't know how to tell what it could be

Answer 2

plugin (7t+4)^2 = x into second equation, you get :
\[y = x-10\]

Answer 3

that equation should look familiar ?

Answer 4

okay, do you mind explaining why that works?

Answer 5

wait never mind i see now, thank you for the help

Answer 6

\(x = \heartsuit \)
\(y = \heartsuit - 10\)

is that a line ?

Answer 7

\(x = \spadesuit^{\clubsuit}\)

\(y = \spadesuit^{\clubsuit} - 10\)

is that a line ?