Write in y=mx+b Form 7x-6y-42=0

$7 x - 6 y - 42 = 0$

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 $7 x$ from both sides of the equation.

$- 6 y - 42 = - 7 x$

Add $42$ to both sides of the equation.

$- 6 y = - 7 x + 42$

Divide each term in $- 6 y = - 7 x + 42$ by $- 6$ and simplify.

Divide each term in $- 6 y = - 7 x + 42$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{- 7 x}{- 6} + \frac{42}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{- 7 x}{- 6} + \frac{42}{- 6}$

Divide $y$ by $1$ .

$y = \frac{- 7 x}{- 6} + \frac{42}{- 6}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(7) x}{6} + \frac{42}{- 6}$

Divide $42$ by $- 6$ .

$y = \frac{7 x}{6} - 7$

Reorder terms.

$y = \frac{7}{6} x - 7$