Jimmy wants to write the set of parametric equations x=1/2t+3 and y=2t-1 in rectangular form by eliminating t. Which of the following equations would help him to eliminate t?
A. t=2(x-3)
B. t=2(x+3)
C. t=y-1/2
D. t=2(y+1)
To eliminate t from the given parametric equations, you can isolate t in one of the equations and then substitute that expression for t in the other equation.
Starting with the equation:
x = (1/2)t + 3
Rearranging for t:
t = 2(x - 3)
Now substitute this expression for t in the second equation:
y = 2t - 1
y = 2(2(x - 3)) - 1
y = 4x - 8 - 1
y = 4x - 9
Therefore, the correct equation that would help Jimmy to eliminate t is:
A. t = 2(x - 3)