Write in y=mx+b Form -10x=2-4y

$- 10 x = 2 - 4 y$

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.

Rewrite the equation as $2 - 4 y = - 10 x$ .

$2 - 4 y = - 10 x$

Subtract $2$ from both sides of the equation.

$- 4 y = - 10 x - 2$

Divide each term in $- 4 y = - 10 x - 2$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 10 x - 2$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 10 x}{- 4} + \frac{- 2}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 10 x}{- 4} + \frac{- 2}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 10 x}{- 4} + \frac{- 2}{- 4}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 10$ and $- 4$ .

Factor $- 2$ out of $- 10 x$ .

$y = \frac{- 2 (5 x)}{- 4} + \frac{- 2}{- 4}$

Cancel the common factors.

Factor $- 2$ out of $- 4$ .

$y = \frac{- 2 (5 x)}{- 2 (2)} + \frac{- 2}{- 4}$

Cancel the common factor.

$y = \frac{- 2 (5 x)}{- 2 \cdot 2} + \frac{- 2}{- 4}$

Rewrite the expression.

$y = \frac{5 x}{2} + \frac{- 2}{- 4}$

Cancel the common factor of $- 2$ and $- 4$ .

Factor $- 2$ out of $- 2$ .

$y = \frac{5 x}{2} + \frac{- 2 (1)}{- 4}$

Cancel the common factors.

Factor $- 2$ out of $- 4$ .

$y = \frac{5 x}{2} + \frac{- 2 \cdot 1}{- 2 \cdot 2}$

Cancel the common factor.

$y = \frac{5 x}{2} + \frac{- 2 \cdot 1}{- 2 \cdot 2}$

Rewrite the expression.

$y = \frac{5 x}{2} + \frac{1}{2}$

Reorder terms.

$y = \frac{5}{2} x + \frac{1}{2}$