Write in y=mx+b Form x-3y-7=0

$x - 3 y - 7 = 0$

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.

$- 3 y - 7 = - x$

Add $7$ to both sides of the equation.

$- 3 y = - x + 7$

Divide each term in $- 3 y = - x + 7$ by $- 3$ and simplify.

Divide each term in $- 3 y = - x + 7$ by $- 3$ .

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

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

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

Move the negative in front of the fraction.

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

Reorder terms.

$y = \frac{1}{3} x - \frac{7}{3}$