Write in y=mx+b Form 6x+2y=14

$6 x + 2 y = 14$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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

$2 y = 14 - 6 x$

Divide each term in $2 y = 14 - 6 x$ by $2$ and simplify.

Divide each term in $2 y = 14 - 6 x$ by $2$ .

$\frac{2 y}{2} = \frac{14}{2} + \frac{- 6 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{14}{2} + \frac{- 6 x}{2}$

Divide $y$ by $1$ .

$y = \frac{14}{2} + \frac{- 6 x}{2}$

Simplify the right side.

Simplify each term.

Divide $14$ by $2$ .

$y = 7 + \frac{- 6 x}{2}$

Cancel the common factor of $- 6$ and $2$ .

Factor $2$ out of $- 6 x$ .

$y = 7 + \frac{2 (- 3 x)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = 7 + \frac{2 (- 3 x)}{2 (1)}$

Cancel the common factor.

$y = 7 + \frac{2 (- 3 x)}{2 \cdot 1}$

Rewrite the expression.

$y = 7 + \frac{- 3 x}{1}$

Divide $- 3 x$ by $1$ .

$y = 7 - 3 x$

Reorder $7$ and $- 3 x$ .

$y = - 3 x + 7$