Precalculus Examples

$x = t - 1$ , $y = t + 2$

Step 1

Set up the parametric equation for $x (t)$ to solve the equation for $t$ .

$x = t - 1$

Step 2

Rewrite the equation as $t - 1 = x$ .

$t - 1 = x$

Step 3

Add $1$ to both sides of the equation.

$t = x + 1$

Step 4

Replace $t$ in the equation for $y$ to get the equation in terms of $x$ .

$y = (x + 1) + 2$

Step 5

Remove parentheses.

$y = x + 1 + 2$

Step 6

Remove parentheses.

$y = (x + 1) + 2$

Step 7

Add $1$ and $2$ .

$y = x + 3$