Write in y=mx+b Form x+4y+14=0

$x + 4 y + 14 = 0$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Move all terms not containing $y$ to the right side of the equation.

Subtract $x$ from both sides of the equation.

$4 y + 14 = - x$

Subtract $14$ from both sides of the equation.

$4 y = - x - 14$

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

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

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

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

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

Factor $2$ out of $- 14$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

$y = - \frac{x}{4} + \frac{2 \cdot - 7}{2 \cdot 2}$

Cancel the common factor.

$y = - \frac{x}{4} + \frac{2 \cdot - 7}{2 \cdot 2}$

Rewrite the expression.

$y = - \frac{x}{4} + \frac{- 7}{2}$

Move the negative in front of the fraction.

$y = - \frac{x}{4} - \frac{7}{2}$

Write in $y = m x + b$ form.

Reorder terms.

$y = - (\frac{1}{4} x) - \frac{7}{2}$

Remove parentheses.

$y = - \frac{1}{4} x - \frac{7}{2}$