Write in Slope-Intercept Form 9x-7y=-7

$9 x - 7 y = - 7$

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 $9 x$ from both sides of the equation.

$- 7 y = - 7 - 9 x$

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

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

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

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $- 7$ by $- 7$ .

$y = 1 + \frac{- 9 x}{- 7}$

Dividing two negative values results in a positive value.

$y = 1 + \frac{9 x}{7}$

Write in $y = m x + b$ form.

Reorder $1$ and $\frac{9 x}{7}$ .

$y = \frac{9 x}{7} + 1$

Reorder terms.

$y = \frac{9}{7} x + 1$