Answer to Question #116460 in Calculus for Olivia

Question

The curve described by r(t)=⟨t,2t+5⟩ is
Select one:
a. a parabola passing through the point (0,2)
b. a straight line passing through the point (0,5) with slope -2
c. a straight line passing through the point (0,2) with slope 5
d. a parabola passing through the point (0,5)
e. a straight line passing through the point (5,0) with slope -2
f. a straight line passing through the point (0,5) with slope 2

Answer 1

$x=t$ and $y=2t+5$

Then equation is $y=2x+5$

this is straight line with slope 2 (coefficient near x), and going through point (0,5).

Answer f is correct