Find the Slope 8y=2x+4

$8 y = 2 x + 4$

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 $8 y = 2 x + 4$ by $8$ and simplify.

Divide each term in $8 y = 2 x + 4$ by $8$ .

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

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Cancel the common factor of $2$ and $8$ .

Factor $2$ out of $2 x$ .

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

Cancel the common factors.

Factor $2$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Factor $4$ out of $4$ .

$y = \frac{x}{4} + \frac{4 (1)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$y = \frac{x}{4} + \frac{4 \cdot 1}{4 \cdot 2}$

Cancel the common factor.

$y = \frac{x}{4} + \frac{4 \cdot 1}{4 \cdot 2}$

Rewrite the expression.

$y = \frac{x}{4} + \frac{1}{2}$

Reorder terms.

$y = \frac{1}{4} x + \frac{1}{2}$

Step 2

Using the slope-intercept form, the slope is $\frac{1}{4}$ .

$m = \frac{1}{4}$

Step 3