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

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

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

Multiply both sides by $2$ .

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

Simplify the right side.

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

Combine $x$ and $\frac{1}{2}$ .

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

Apply the distributive property.

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

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{x}{2}$ into the numerator.

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $2$ by $3$ .

$2 y = - x + 6$

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

Add $x$ to both sides of the equation.

$2 y + x = 6$

Reorder $2 y$ and $x$ .

$x + 2 y = 6$