Write in y=mx+b Form x-2y-7=0

$x - 2 y - 7 = 0$

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.

$- 2 y - 7 = - x$

Add $7$ to both sides of the equation.

$- 2 y = - x + 7$

Divide each term in $- 2 y = - x + 7$ by $- 2$ and simplify.

Divide each term in $- 2 y = - x + 7$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

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

Move the negative in front of the fraction.

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

Reorder terms.

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