Write in y=mx+b Form x-4y=5

$x - 4 y = 5$

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 $x$ from both sides of the equation.

$- 4 y = 5 - x$

Divide each term in $- 4 y = 5 - x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 5 - x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{5}{- 4} + \frac{- x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{5}{- 4} + \frac{- x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{5}{- 4} + \frac{- x}{- 4}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{5}{4} + \frac{- x}{- 4}$

Dividing two negative values results in a positive value.

$y = - \frac{5}{4} + \frac{x}{4}$

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

Reorder $- \frac{5}{4}$ and $\frac{x}{4}$ .

$y = \frac{x}{4} - \frac{5}{4}$

Reorder terms.

$y = \frac{1}{4} x - \frac{5}{4}$