Find the Slope 7y=3x+1

$7 y = 3 x + 1$

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 $7 y = 3 x + 1$ by $7$ and simplify.

Divide each term in $7 y = 3 x + 1$ by $7$ .

$\frac{7 y}{7} = \frac{3 x}{7} + \frac{1}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{3 x}{7} + \frac{1}{7}$

Divide $y$ by $1$ .

$y = \frac{3 x}{7} + \frac{1}{7}$

Reorder terms.

$y = \frac{3}{7} x + \frac{1}{7}$

Step 2

Using the slope-intercept form, the slope is $\frac{3}{7}$ .

$m = \frac{3}{7}$

Step 3