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

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

Step 1

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

Step 2

Multiply both sides by $2$ .

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

Step 3

Simplify the right side.

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

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

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

Apply the distributive property.

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

Cancel the common factor of $2$ .

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 $- 3$ .

$2 y = x - 6$

Step 4

Rewrite the equation.

$x - 6 = 2 y$

Step 5

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

Subtract $2 y$ from both sides of the equation.

$x - 6 - 2 y = 0$

Move $- 6$ .

$x - 2 y - 6 = 0$

Step 6

Add $6$ to both sides of the equation.

$x - 2 y = 6$

Step 7