Write in Standard Form y=-1/2x-7

$y = - \frac{1}{2} x - 7$

Step 1

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

Step 2

Multiply both sides by $2$ .

$2 y = 2 (- \frac{1}{2} x - 7)$

Step 3

Simplify the right side.

Simplify $2 (- \frac{1}{2} x - 7)$ .

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

$2 y = 2 (- \frac{x}{2} - 7)$

Apply the distributive property.

$2 y = 2 (- \frac{x}{2}) + 2 \cdot - 7$

Cancel the common factor of $2$ .

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

$2 y = 2 \frac{- x}{2} + 2 \cdot - 7$

Cancel the common factor.

$2 y = 2 \frac{- x}{2} + 2 \cdot - 7$

Rewrite the expression.

$2 y = - x + 2 \cdot - 7$

Multiply $2$ by $- 7$ .

$2 y = - x - 14$

Step 4

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

Add $x$ to both sides of the equation.

$2 y + x = - 14$

Reorder $2 y$ and $x$ .

$x + 2 y = - 14$

Step 5