How could you find the rectangular form corresponding to the parametric equations: x= 2 + 4t & y= 3 + t?

Question

rectangular form...

a. y = (3/4)x - 1/2

b. y = (4/3)x + 2/3

c. y = (4/3)x - 5/3

d. y = (3/4)x + 5/4

e. y = (1/3)x + 2/3

f. y = (1/3)x + 10/3

g. y = 4x - 5

h. y = (1/4)x + 5/4

or none of these

Answer 1

Since x = 2 + 4t, and y = 3 + t

t = y-3

x = 2 + 4(y-3)
x = 2 + 4y - 12
x = 4y - 10
x + 10 = 4y
(1/4)x + 5/2 = y

None of those.

Answer 2

x= 2 + 4t --> t = (x-2)/4
y= 3 + t --> t= y-3
Thus y-3 = (x-2)/4
4y-12 =x-2
4y = x +10
y = (1/4)x +5/2

Answer is none of these.