Write in Standard Form y=1/4x-2

$y = \frac{1}{4} x - 2$

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

Multiply both sides by $4$ .

$4 y = 4 (\frac{1}{4} x - 2)$

Simplify the right side.

Simplify $4 (\frac{1}{4} x - 2)$ .

Combine $\frac{1}{4}$ and $x$ .

$4 y = 4 (\frac{x}{4} - 2)$

Apply the distributive property.

$4 y = 4 \frac{x}{4} + 4 \cdot - 2$

Cancel the common factor of $4$ .

Cancel the common factor.

$4 y = 4 \frac{x}{4} + 4 \cdot - 2$

Rewrite the expression.

$4 y = x + 4 \cdot - 2$

Multiply $4$ by $- 2$ .

$4 y = x - 8$

Rewrite the equation.

$x - 8 = 4 y$

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

Subtract $4 y$ from both sides of the equation.

$x - 8 - 4 y = 0$

Move $- 8$ .

$x - 4 y - 8 = 0$

Add $8$ to both sides of the equation.

$x - 4 y = 8$