Write in y=mx+b Form 2x-7y=8x+10

$2 x - 7 y = 8 x + 10$

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 $2 x$ from both sides of the equation.

$- 7 y = 8 x + 10 - 2 x$

Subtract $2 x$ from $8 x$ .

$- 7 y = 6 x + 10$

Divide each term in $- 7 y = 6 x + 10$ by $- 7$ and simplify.

Divide each term in $- 7 y = 6 x + 10$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{6 x}{- 7} + \frac{10}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{6 x}{- 7} + \frac{10}{- 7}$

Divide $y$ by $1$ .

$y = \frac{6 x}{- 7} + \frac{10}{- 7}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{6 x}{7} + \frac{10}{- 7}$

Move the negative in front of the fraction.

$y = - \frac{6 x}{7} - \frac{10}{7}$

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

Reorder terms.

$y = - (\frac{6}{7} x) - \frac{10}{7}$

Remove parentheses.

$y = - \frac{6}{7} x - \frac{10}{7}$