Write in y=mx+b Form 2x-5y+7=0

$2 x - 5 y + 7 = 0$

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 $2 x$ from both sides of the equation.

$- 5 y + 7 = - 2 x$

Subtract $7$ from both sides of the equation.

$- 5 y = - 2 x - 7$

Divide each term in $- 5 y = - 2 x - 7$ by $- 5$ and simplify.

Divide each term in $- 5 y = - 2 x - 7$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- 2 x}{- 5} + \frac{- 7}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- 2 x}{- 5} + \frac{- 7}{- 5}$

Divide $y$ by $1$ .

$y = \frac{- 2 x}{- 5} + \frac{- 7}{- 5}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{(2) x}{5} + \frac{- 7}{- 5}$

Dividing two negative values results in a positive value.

$y = \frac{2 x}{5} + \frac{7}{5}$

Reorder terms.

$y = \frac{2}{5} x + \frac{7}{5}$