Write in y=mx+b Form -3x-4y=14

$- 3 x - 4 y = 14$

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.

Add $3 x$ to both sides of the equation.

$- 4 y = 14 + 3 x$

Divide each term in $- 4 y = 14 + 3 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 14 + 3 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{14}{- 4} + \frac{3 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{14}{- 4} + \frac{3 x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{14}{- 4} + \frac{3 x}{- 4}$

Simplify the right side.

Simplify each term.

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

Factor $2$ out of $14$ .

$y = \frac{2 (7)}{- 4} + \frac{3 x}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{2 \cdot 7}{2 \cdot - 2} + \frac{3 x}{- 4}$

Cancel the common factor.

$y = \frac{2 \cdot 7}{2 \cdot - 2} + \frac{3 x}{- 4}$

Rewrite the expression.

$y = \frac{7}{- 2} + \frac{3 x}{- 4}$

Move the negative in front of the fraction.

$y = - \frac{7}{2} + \frac{3 x}{- 4}$

Move the negative in front of the fraction.

$y = - \frac{7}{2} - \frac{3 x}{4}$

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

Reorder $- \frac{7}{2}$ and $- \frac{3 x}{4}$ .

$y = - \frac{3 x}{4} - \frac{7}{2}$

Reorder terms.

$y = - (\frac{3}{4} x) - \frac{7}{2}$

Remove parentheses.

$y = - \frac{3}{4} x - \frac{7}{2}$