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

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

Step 1

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

Step 2

Multiply both sides by $7$ .

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

Step 3

Simplify the right side.

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

Apply the distributive property.

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

Multiply $- 2$ by $7$ .

$7 y = - 14 x + 7 (- \frac{2}{7})$

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{2}{7}$ into the numerator.

$7 y = - 14 x + 7 (\frac{- 2}{7})$

Cancel the common factor.

$7 y = - 14 x + 7 (\frac{- 2}{7})$

Rewrite the expression.

$7 y = - 14 x - 2$

Step 4

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

Add $14 x$ to both sides of the equation.

$7 y + 14 x = - 2$

Reorder $7 y$ and $14 x$ .

$14 x + 7 y = - 2$

Step 5