Write in Standard Form y=1/3x-2

$y = \frac{1}{3} x - 2$

The standard form of a linear equation is $A x + B y = C$ .

Multiply both sides by $3$ .

$3 y = 3 (\frac{1}{3} x - 2)$

Simplify the right side.

Simplify $3 (\frac{1}{3} x - 2)$ .

Combine $\frac{1}{3}$ and $x$ .

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

Apply the distributive property.

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

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$3 y = x + 3 \cdot - 2$

Multiply $3$ by $- 2$ .

$3 y = x - 6$

Rewrite the equation.

$x - 6 = 3 y$

Move all terms containing variables to the left side of the equation.

Subtract $3 y$ from both sides of the equation.

$x - 6 - 3 y = 0$

Move $- 6$ .

$x - 3 y - 6 = 0$

Add $6$ to both sides of the equation.

$x - 3 y = 6$