Write as a Function of x 6x+|y|=0

$6 x + | y | = 0$

Subtract $6 x$ from both sides of the equation.

$| y | = - 6 x$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$y = \pm (- 6 x)$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$y = - 6 x$

Next, use the negative value of the $\pm$ to find the second solution.

$y = 6 x$

The complete solution is the result of both the positive and negative portions of the solution.

$y = - 6 x$

$y = 6 x$

$y = - 6 x$

$y = 6 x$