Find the Slope 6y=8

$6 y = 8$

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 $6 y = 8$ by $6$ and simplify.

Divide each term in $6 y = 8$ by $6$ .

$\frac{6 y}{6} = \frac{8}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{8}{6}$

Divide $y$ by $1$ .

$y = \frac{8}{6}$

Simplify the right side.

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

Factor $2$ out of $8$ .

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

Cancel the common factors.

Factor $2$ out of $6$ .

$y = \frac{2 \cdot 4}{2 \cdot 3}$

Cancel the common factor.

$y = \frac{2 \cdot 4}{2 \cdot 3}$

Rewrite the expression.

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

Step 2

Using the slope-intercept form, the slope is $0$ .

$m = 0$

Step 3