Question

Eliminate the parameter.


x = 5t, y = t + 8 (2 points)

Answer 1

Answer: y =
`(1)/(5)`x + 8

Explanation:

This is asking us to remove the parameter. In other words, we want an equation with only the relation between x and y, so we need to remove the t. There are a few ways to do this, but I am going to set one equation equal to t and then plug it into the next one.

Given:

x = 5t

Divide both sides of the equation by 5:

t =
`(1)/(5)`x

-

Given:

y = t + 8

Plug in:

y = (
`(1)/(5)`x) + 8

Answer:

y =
`(1)/(5)`x + 8