Find the Slope of a Parallel Line -9x-8y=5

$- 9 x - 8 y = 5$

Step 1

Rewrite in slope-intercept form.

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

$y = m x + b$

Add $9 x$ to both sides of the equation.

$- 8 y = 5 + 9 x$

Divide each term in $- 8 y = 5 + 9 x$ by $- 8$ and simplify.

Divide each term in $- 8 y = 5 + 9 x$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{5}{- 8} + \frac{9 x}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{5}{- 8} + \frac{9 x}{- 8}$

Divide $y$ by $1$ .

$y = \frac{5}{- 8} + \frac{9 x}{- 8}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{5}{8} + \frac{9 x}{- 8}$

Move the negative in front of the fraction.

$y = - \frac{5}{8} - \frac{9 x}{8}$

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

Reorder $- \frac{5}{8}$ and $- \frac{9 x}{8}$ .

$y = - \frac{9 x}{8} - \frac{5}{8}$

Reorder terms.

$y = - (\frac{9}{8} x) - \frac{5}{8}$

Remove parentheses.

$y = - \frac{9}{8} x - \frac{5}{8}$

Step 2

Using the slope-intercept form, the slope is $- \frac{9}{8}$ .

$m = - \frac{9}{8}$

Step 3

All lines that are parallel to $y = - \frac{9}{8} x - \frac{5}{8}$ have the same slope of $- \frac{9}{8}$ .

$m_{parallel} = - \frac{9}{8}$

Step 4