Write in Standard Form y=1/6x+7

$y = \frac{1}{6} x + 7$

Step 1

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

Step 2

Multiply both sides by $6$ .

$6 y = 6 (\frac{1}{6} x + 7)$

Step 3

Simplify the right side.

Simplify $6 (\frac{1}{6} x + 7)$ .

Combine $\frac{1}{6}$ and $x$ .

$6 y = 6 (\frac{x}{6} + 7)$

Apply the distributive property.

$6 y = 6 \frac{x}{6} + 6 \cdot 7$

Cancel the common factor of $6$ .

Cancel the common factor.

$6 y = 6 \frac{x}{6} + 6 \cdot 7$

Rewrite the expression.

$6 y = x + 6 \cdot 7$

Multiply $6$ by $7$ .

$6 y = x + 42$

Step 4

Rewrite the equation.

$x + 42 = 6 y$

Step 5

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

Subtract $6 y$ from both sides of the equation.

$x + 42 - 6 y = 0$

Move $42$ .

$x - 6 y + 42 = 0$

Step 6

Subtract $42$ from both sides of the equation.

$x - 6 y = - 42$

Step 7