Write as a Function of y y=-3x-2

$y = - 3 x - 2$

Step 1

Rewrite the equation as $- 3 x - 2 = y$ .

$- 3 x - 2 = y$

Step 2

Add $2$ to both sides of the equation.

$- 3 x = y + 2$

Step 3

Divide each term in $- 3 x = y + 2$ by $- 3$ and simplify.

Divide each term in $- 3 x = y + 2$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{y}{- 3} + \frac{2}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{y}{- 3} + \frac{2}{- 3}$

Divide $x$ by $1$ .

$x = \frac{y}{- 3} + \frac{2}{- 3}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$x = - \frac{y}{3} + \frac{2}{- 3}$

Move the negative in front of the fraction.

$x = - \frac{y}{3} - \frac{2}{3}$

Step 4

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

$f (y) = - \frac{y}{3} - \frac{2}{3}$

Write as a Function of y y=-3x-2

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