Find the Slope 1/8x+3y=3

$\frac{1}{8} x + 3 y = 3$

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.

$y = m x + b$

Simplify the left side.

Combine $\frac{1}{8}$ and $x$ .

$\frac{x}{8} + 3 y = 3$

Subtract $\frac{x}{8}$ from both sides of the equation.

$3 y = 3 - \frac{x}{8}$

Divide each term in $3 y = 3 - \frac{x}{8}$ by $3$ and simplify.

Divide each term in $3 y = 3 - \frac{x}{8}$ by $3$ .

$\frac{3 y}{3} = \frac{3}{3} + \frac{- \frac{x}{8}}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{3}{3} + \frac{- \frac{x}{8}}{3}$

Divide $y$ by $1$ .

$y = \frac{3}{3} + \frac{- \frac{x}{8}}{3}$

Simplify the right side.

Simplify each term.

Divide $3$ by $3$ .

$y = 1 + \frac{- \frac{x}{8}}{3}$

Multiply the numerator by the reciprocal of the denominator.

$y = 1 - \frac{x}{8} \cdot \frac{1}{3}$

Multiply $- \frac{x}{8} \cdot \frac{1}{3}$ .

Multiply $\frac{1}{3}$ by $\frac{x}{8}$ .

$y = 1 - \frac{x}{3 \cdot 8}$

Multiply $3$ by $8$ .

$y = 1 - \frac{x}{24}$

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

Reorder $1$ and $- \frac{x}{24}$ .

$y = - \frac{x}{24} + 1$

Reorder terms.

$y = - (\frac{1}{24} x) + 1$

Remove parentheses.

$y = - \frac{1}{24} x + 1$

Step 2

Using the slope-intercept form, the slope is $- \frac{1}{24}$ .

$m = - \frac{1}{24}$

Step 3