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

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

Step 1

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

Step 2

Multiply both sides by $4$ .

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

Step 3

Simplify the right side.

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

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

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

Apply the distributive property.

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

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{x}{4}$ into the numerator.

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $4$ by $4$ .

$4 y = - x + 16$

Step 4

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

Add $x$ to both sides of the equation.

$4 y + x = 16$

Reorder $4 y$ and $x$ .

$x + 4 y = 16$

Step 5