Find the Slope -x-y=17

$- x - y = 17$

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 $x$ to both sides of the equation.

$- y = 17 + x$

Divide each term in $- y = 17 + x$ by $- 1$ and simplify.

Divide each term in $- y = 17 + x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{17}{- 1} + \frac{x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{17}{- 1} + \frac{x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{17}{- 1} + \frac{x}{- 1}$

Simplify the right side.

Simplify each term.

Divide $17$ by $- 1$ .

$y = - 17 + \frac{x}{- 1}$

Move the negative one from the denominator of $\frac{x}{- 1}$ .

$y = - 17 - 1 \cdot x$

Rewrite $- 1 \cdot x$ as $- x$ .

$y = - 17 - x$

Reorder $- 17$ and $- x$ .

$y = - x - 17$

Step 2

Using the slope-intercept form, the slope is $- 1$ .

$m = - 1$

Step 3