Find a rectangular equation for the plane curve defined by t

Find a rectangular equation for the plane curve defined by the parametric equations.

x = 3t, y = t + 7

a. y = x/3 + 7

b. y = x/3 - 7

c. y = 3x + 7

d. y = 3x - 7

Solution

x = 3t, y = t + 7

x=3t

3t=x

divide be 3 on both sides

t =x/3

put t =x/3 in y= t+7

y=(x/3) +7

option a