Find the Slope 6y=8x-4

$6 y = 8 x - 4$

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.

$y = m x + b$

Divide each term in $6 y = 8 x - 4$ by $6$ and simplify.

Divide each term in $6 y = 8 x - 4$ by $6$ .

$\frac{6 y}{6} = \frac{8 x}{6} + \frac{- 4}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{8 x}{6} + \frac{- 4}{6}$

Divide $y$ by $1$ .

$y = \frac{8 x}{6} + \frac{- 4}{6}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $8$ and $6$ .

Factor $2$ out of $8 x$ .

$y = \frac{2 (4 x)}{6} + \frac{- 4}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$y = \frac{2 (4 x)}{2 (3)} + \frac{- 4}{6}$

Cancel the common factor.

$y = \frac{2 (4 x)}{2 \cdot 3} + \frac{- 4}{6}$

Rewrite the expression.

$y = \frac{4 x}{3} + \frac{- 4}{6}$

Cancel the common factor of $- 4$ and $6$ .

Factor $2$ out of $- 4$ .

$y = \frac{4 x}{3} + \frac{2 (- 2)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$y = \frac{4 x}{3} + \frac{2 \cdot - 2}{2 \cdot 3}$

Cancel the common factor.

$y = \frac{4 x}{3} + \frac{2 \cdot - 2}{2 \cdot 3}$

Rewrite the expression.

$y = \frac{4 x}{3} + \frac{- 2}{3}$

Move the negative in front of the fraction.

$y = \frac{4 x}{3} - \frac{2}{3}$

Reorder terms.

$y = \frac{4}{3} x - \frac{2}{3}$

Step 2

Using the slope-intercept form, the slope is $\frac{4}{3}$ .

$m = \frac{4}{3}$

Step 3