Write as a Function of x -3x-4y=-3

$- 3 x - 4 y = - 3$

Step 1

Add $3 x$ to both sides of the equation.

$- 4 y = - 3 + 3 x$

Step 2

Divide each term in $- 4 y = - 3 + 3 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 3 + 3 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 3}{- 4} + \frac{3 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 3}{- 4} + \frac{3 x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 3}{- 4} + \frac{3 x}{- 4}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{3}{4} + \frac{3 x}{- 4}$

Move the negative in front of the fraction.

$y = \frac{3}{4} - \frac{3 x}{4}$

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.

$f (x) = \frac{3}{4} - \frac{3 x}{4}$

Write as a Function of x -3x-4y=-3

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