Write in y=mx+b Form x-2y=11

$x - 2 y = 11$

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.

$- 2 y = 11 - x$

Divide each term in $- 2 y = 11 - x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 11 - x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{11}{- 2} + \frac{- x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{11}{- 2} + \frac{- x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{11}{- 2} + \frac{- x}{- 2}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{11}{2} + \frac{- x}{- 2}$

Dividing two negative values results in a positive value.

$y = - \frac{11}{2} + \frac{x}{2}$

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

Reorder $- \frac{11}{2}$ and $\frac{x}{2}$ .

$y = \frac{x}{2} - \frac{11}{2}$

Reorder terms.

$y = \frac{1}{2} x - \frac{11}{2}$