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

$6 y + 7 x = 42$

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 $7 x$ from both sides of the equation.

$6 y = 42 - 7 x$

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

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

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

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $42$ by $6$ .

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

Move the negative in front of the fraction.

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

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

Reorder $7$ and $- \frac{7 x}{6}$ .

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

Reorder terms.

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

Remove parentheses.

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