Question

the vertical and horizontal positions of a zip line cable are represented by the following parametric equations. Rewrite the parametric equations by elimination the the parameter.

x(t)= 3t + 4

y(t) = 5-t

a) y = -1/3x+19/3

b) y= 19 - 3x

c) y= 2x + 9

d) y= 5-x

Answer 1

from x(t)= 3t + 4
3t = x-4
t = (x-4)/3

in y = 5-t
= 5 - (x-4)/3
= (15 - x + 4)/3
= 19/3 - x/3 <---- one of your choices