Write in y=mx+b Form 1-(2y-4x)/2=4x+6

$1 - \frac{2 y - 4 x}{2} = 4 x + 6$

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.

Simplify the left side.

Simplify each term.

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

Factor $2$ out of $2 y$ .

$1 - \frac{2 (y) - 4 x}{2} = 4 x + 6$

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

$1 - \frac{2 (y) + 2 (- 2 x)}{2} = 4 x + 6$

Factor $2$ out of $2 (y) + 2 (- 2 x)$ .

$1 - \frac{2 (y - 2 x)}{2} = 4 x + 6$

Cancel the common factors.

Factor $2$ out of $2$ .

$1 - \frac{2 (y - 2 x)}{2 (1)} = 4 x + 6$

Cancel the common factor.

$1 - \frac{2 (y - 2 x)}{2 \cdot 1} = 4 x + 6$

Rewrite the expression.

$1 - \frac{y - 2 x}{1} = 4 x + 6$

Divide $y - 2 x$ by $1$ .

$1 - (y - 2 x) = 4 x + 6$

Apply the distributive property.

$1 - y - (- 2 x) = 4 x + 6$

Multiply $- 2$ by $- 1$ .

$1 - y + 2 x = 4 x + 6$

Move all terms not containing $y$ to the right side of the equation.

Subtract $1$ from both sides of the equation.

$- y + 2 x = 4 x + 6 - 1$

Subtract $2 x$ from both sides of the equation.

$- y = 4 x + 6 - 1 - 2 x$

Subtract $2 x$ from $4 x$ .

$- y = 2 x + 6 - 1$

Subtract $1$ from $6$ .

$- y = 2 x + 5$

Divide each term in $- y = 2 x + 5$ by $- 1$ and simplify.

Divide each term in $- y = 2 x + 5$ by $- 1$ .

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{2 x}{- 1}$ .

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

Rewrite $- 1 \cdot (2 x)$ as $- (2 x)$ .

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

Multiply $2$ by $- 1$ .

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

Divide $5$ by $- 1$ .

$y = - 2 x - 5$

Write in y=mx+b Form 1-(2y-4x)/2=4x+6

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