Find the Slope 5y-5x=15

$5 y - 5 x = 15$

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 $5 x$ to both sides of the equation.

$5 y = 15 + 5 x$

Divide each term in $5 y = 15 + 5 x$ by $5$ and simplify.

Divide each term in $5 y = 15 + 5 x$ by $5$ .

$\frac{5 y}{5} = \frac{15}{5} + \frac{5 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{15}{5} + \frac{5 x}{5}$

Divide $y$ by $1$ .

$y = \frac{15}{5} + \frac{5 x}{5}$

Simplify the right side.

Simplify each term.

Divide $15$ by $5$ .

$y = 3 + \frac{5 x}{5}$

Cancel the common factor of $5$ .

Cancel the common factor.

$y = 3 + \frac{5 x}{5}$

Divide $x$ by $1$ .

$y = 3 + x$

Reorder $3$ and $x$ .

$y = x + 3$

Step 2

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

$m = 1$

Step 3