Question
Convert the parametric equations x = 2 + 4t/5, y = 3t/5 - 1 into a Cartesian equation. (5 points)
A) y = 3x/4
B) y = 3x/4 - 5/2
C) y = 3x/4 - 1/2
D) y = 3x/4 + 1/2
A) y = 3x/4
B) y = 3x/4 - 5/2
C) y = 3x/4 - 1/2
D) y = 3x/4 + 1/2
Answers
Anonymous
x = 2 + 4t/5, y = 3t/5 - 1
5 x = 10 + 4 t
4 t = 5 x - 10
t = 1.25 x - 2.5
and
y = 3t/5 - 1 ===> y = 3 (1.25x-2.5)/5 - 5/5
5 y = 3.75 x - 7.5 - 5 = 3.75 x - 12.5
y = .75 x - 2.5 = 3 x/4 - 5/2
5 x = 10 + 4 t
4 t = 5 x - 10
t = 1.25 x - 2.5
and
y = 3t/5 - 1 ===> y = 3 (1.25x-2.5)/5 - 5/5
5 y = 3.75 x - 7.5 - 5 = 3.75 x - 12.5
y = .75 x - 2.5 = 3 x/4 - 5/2