Write in y=mx+b Form 14x-4y=1

$14 x - 4 y = 1$

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.

Subtract $14 x$ from both sides of the equation.

$- 4 y = 1 - 14 x$

Divide each term in $- 4 y = 1 - 14 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 1 - 14 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{1}{- 4} + \frac{- 14 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{1}{- 4} + \frac{- 14 x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{1}{- 4} + \frac{- 14 x}{- 4}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{1}{4} + \frac{- 14 x}{- 4}$

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

Factor $- 2$ out of $- 14 x$ .

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

Cancel the common factors.

Factor $- 2$ out of $- 4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Reorder $- \frac{1}{4}$ and $\frac{7 x}{2}$ .

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

Reorder terms.

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