Rewrite the given parametric equations in Cartesian form

Question

Rewrite the given parametric equations in Cartesian form: x(t)=2t-1 and y(t)=5t

a) y=5x+5

b) y=(5/2)x+5/2

c) y=(5/2)x+1

d) y=5x+1

Answer 1

Eliminate the variable t by solving one equation for t then substitute into the other equation.

 

x = 2t - 1

x + 1 = 2t

(x + 1)/2 = t

 

y = 5t

y = 5(x+1)/2

y = 5x/2 + 5/2