Find the Slope 4x-8y=11

$4 x - 8 y = 11$

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 $4 x$ from both sides of the equation.

$- 8 y = 11 - 4 x$

Divide each term in $- 8 y = 11 - 4 x$ by $- 8$ and simplify.

Divide each term in $- 8 y = 11 - 4 x$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{11}{- 8} + \frac{- 4 x}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{11}{- 8} + \frac{- 4 x}{- 8}$

Divide $y$ by $1$ .

$y = \frac{11}{- 8} + \frac{- 4 x}{- 8}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{11}{8} + \frac{- 4 x}{- 8}$

Cancel the common factor of $- 4$ and $- 8$ .

Factor $- 4$ out of $- 4 x$ .

$y = - \frac{11}{8} + \frac{- 4 (x)}{- 8}$

Cancel the common factors.

Factor $- 4$ out of $- 8$ .

$y = - \frac{11}{8} + \frac{- 4 (x)}{- 4 (2)}$

Cancel the common factor.

$y = - \frac{11}{8} + \frac{- 4 x}{- 4 \cdot 2}$

Rewrite the expression.

$y = - \frac{11}{8} + \frac{x}{2}$

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

Reorder $- \frac{11}{8}$ and $\frac{x}{2}$ .

$y = \frac{x}{2} - \frac{11}{8}$

Reorder terms.

$y = \frac{1}{2} x - \frac{11}{8}$

Step 2

Using the slope-intercept form, the slope is $\frac{1}{2}$ .

$m = \frac{1}{2}$

Step 3