Write an equation in slope-intercept form of the line whose parametric equations are:

x = (1/2)t +2/3 and y = t - 3/4.

a) y = 2x - 7/12

b) y = 2x + 7/12

c) y = -2x - 7/12

d) y = -2x - 25/12

I think it is D.....?

3 answers

my equation is
y = 2x - 25/12

I tested it using t=0, so a point on it would be (2/3, -3/4)

none of the answers you give have that point on it, but my equation does.
check your typing.
never mind, i was right
I would proceed to eliminate t from the two equations by subtracting 2 times equation 1 from the second.
This gives me
y=2x-25/12
which does not correspond to any of the answers. So could you please check if the two equations have been entered correctly, or if the answers have been transcribed correctly.