Question

Write the parametric equations.

x=5t−1,y=1−3t

as a function of x in Cartesian form.

y=

Answer 1

To write the equations in Cartesian form, we can solve for t in terms of x in the first equation, and substitute into the second equation.

From the first equation, we have:

x = 5t - 1

Solving for t, we get:

t = (x + 1)/5

Substituting this expression for t into the second equation, we get:

y = 1 - 3t = 1 - 3[(x + 1)/5] = (5 - 3x)/5

Therefore, the parametric equations:

x = 5t - 1, y = 1 - 3t

can be written in Cartesian form as:

y = (5 - 3x)/5