Find the Slope -4y=14

$- 4 y = 14$

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 $- 4 y = 14$ by $- 4$ and simplify.

Divide each term in $- 4 y = 14$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{14}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{14}{- 4}$

Divide $y$ by $1$ .

$y = \frac{14}{- 4}$

Simplify the right side.

Cancel the common factor of $14$ and $- 4$ .

Factor $2$ out of $14$ .

$y = \frac{2 (7)}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{2 \cdot 7}{2 \cdot - 2}$

Cancel the common factor.

$y = \frac{2 \cdot 7}{2 \cdot - 2}$

Rewrite the expression.

$y = \frac{7}{- 2}$

Move the negative in front of the fraction.

$y = - \frac{7}{2}$

Step 2

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

$m = 0$

Step 3