Find the Slope 2y=6x+4

$2 y = 6 x + 4$

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 $2 y = 6 x + 4$ by $2$ and simplify.

Divide each term in $2 y = 6 x + 4$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6 x$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

$y = \frac{2 (3 x)}{2 (1)} + \frac{4}{2}$

Cancel the common factor.

$y = \frac{2 (3 x)}{2 \cdot 1} + \frac{4}{2}$

Rewrite the expression.

$y = \frac{3 x}{1} + \frac{4}{2}$

Divide $3 x$ by $1$ .

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

Divide $4$ by $2$ .

$y = 3 x + 2$

Step 2

Using the slope-intercept form, the slope is $3$ .

$m = 3$

Step 3