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