Write as a Function of y y=5x+4

$y = 5 x + 4$

Step 1

Rewrite the equation as $5 x + 4 = y$ .

$5 x + 4 = y$

Step 2

Subtract $4$ from both sides of the equation.

$5 x = y - 4$

Step 3

Divide each term in $5 x = y - 4$ by $5$ and simplify.

Divide each term in $5 x = y - 4$ by $5$ .

$\frac{5 x}{5} = \frac{y}{5} + \frac{- 4}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{y}{5} + \frac{- 4}{5}$

Divide $x$ by $1$ .

$x = \frac{y}{5} + \frac{- 4}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$x = \frac{y}{5} - \frac{4}{5}$

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.

$f (y) = \frac{y}{5} - \frac{4}{5}$

Write as a Function of y y=5x+4

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