Calculus Examples

$x = 1 + t$ , $y = 4 - 4 t$

Step 1

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

$x = 1 + t$

Step 2

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

$1 + t = x$

Step 3

Subtract $1$ from both sides of the equation.

$t = x - 1$

Step 4

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

$y = 4 - 4 (x - 1)$

Step 5

Simplify $4 - 4 (x - 1)$ .

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Step 5.1

Simplify each term.

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Step 5.1.1

Apply the distributive property.

$y = 4 - 4 x - 4 \cdot - 1$

Step 5.1.2

Multiply $- 4$ by $- 1$ .

$y = 4 - 4 x + 4$

Step 5.2

Add $4$ and $4$ .

$y = - 4 x + 8$