Find the Slope 7x-7y=5

$7 x - 7 y = 5$

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.

$y = m x + b$

Subtract $7 x$ from both sides of the equation.

$- 7 y = 5 - 7 x$

Divide each term in $- 7 y = 5 - 7 x$ by $- 7$ and simplify.

Divide each term in $- 7 y = 5 - 7 x$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{5}{- 7} + \frac{- 7 x}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{5}{- 7} + \frac{- 7 x}{- 7}$

Divide $y$ by $1$ .

$y = \frac{5}{- 7} + \frac{- 7 x}{- 7}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{5}{7} + \frac{- 7 x}{- 7}$

Cancel the common factor of $- 7$ .

Cancel the common factor.

$y = - \frac{5}{7} + \frac{- 7 x}{- 7}$

Divide $x$ by $1$ .

$y = - \frac{5}{7} + x$

Reorder $- \frac{5}{7}$ and $x$ .

$y = x - \frac{5}{7}$

Step 2

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

$m = 1$

Step 3