Find the Slope 5x-12y=24

$5 x - 12 y = 24$

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 $5 x$ from both sides of the equation.

$- 12 y = 24 - 5 x$

Divide each term in $- 12 y = 24 - 5 x$ by $- 12$ and simplify.

Divide each term in $- 12 y = 24 - 5 x$ by $- 12$ .

$\frac{- 12 y}{- 12} = \frac{24}{- 12} + \frac{- 5 x}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 y}{- 12} = \frac{24}{- 12} + \frac{- 5 x}{- 12}$

Divide $y$ by $1$ .

$y = \frac{24}{- 12} + \frac{- 5 x}{- 12}$

Simplify the right side.

Simplify each term.

Divide $24$ by $- 12$ .

$y = - 2 + \frac{- 5 x}{- 12}$

Dividing two negative values results in a positive value.

$y = - 2 + \frac{5 x}{12}$

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

Reorder $- 2$ and $\frac{5 x}{12}$ .

$y = \frac{5 x}{12} - 2$

Reorder terms.

$y = \frac{5}{12} x - 2$

Step 2

Using the slope-intercept form, the slope is $\frac{5}{12}$ .

$m = \frac{5}{12}$

Step 3