Write as a Function of x -x-4y=2

$- x - 4 y = 2$

Step 1

Add $x$ to both sides of the equation.

$- 4 y = 2 + x$

Step 2

Divide each term in $- 4 y = 2 + x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 2 + x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{2}{- 4} + \frac{x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{2}{- 4} + \frac{x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{2}{- 4} + \frac{x}{- 4}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $2$ and $- 4$ .

Factor $2$ out of $2$ .

$y = \frac{2 (1)}{- 4} + \frac{x}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{2 \cdot 1}{2 \cdot - 2} + \frac{x}{- 4}$

Cancel the common factor.

$y = \frac{2 \cdot 1}{2 \cdot - 2} + \frac{x}{- 4}$

Rewrite the expression.

$y = \frac{1}{- 2} + \frac{x}{- 4}$

Move the negative in front of the fraction.

$y = - \frac{1}{2} + \frac{x}{- 4}$

Move the negative in front of the fraction.

$y = - \frac{1}{2} - \frac{x}{4}$

Step 3

To rewrite as a function of $x$ , write the equation so that $y$ is by itself on one side of the equal sign and an expression involving only $x$ is on the other side.

$f (x) = - \frac{1}{2} - \frac{x}{4}$

Write as a Function of x -x-4y=2

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