Write in y=mx+b Form 6x-7y+9=0

$6 x - 7 y + 9 = 0$

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.

Move all terms not containing $y$ to the right side of the equation.

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

$- 7 y + 9 = - 6 x$

Subtract $9$ from both sides of the equation.

$- 7 y = - 6 x - 9$

Divide each term in $- 7 y = - 6 x - 9$ by $- 7$ and simplify.

Divide each term in $- 7 y = - 6 x - 9$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{- 6 x}{- 7} + \frac{- 9}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{- 6 x}{- 7} + \frac{- 9}{- 7}$

Divide $y$ by $1$ .

$y = \frac{- 6 x}{- 7} + \frac{- 9}{- 7}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(6) x}{7} + \frac{- 9}{- 7}$

Dividing two negative values results in a positive value.

$y = \frac{6 x}{7} + \frac{9}{7}$

Reorder terms.

$y = \frac{6}{7} x + \frac{9}{7}$