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

$4 x - 2 y = 10 x + 2$

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 $4 x$ from both sides of the equation.

$- 2 y = 10 x + 2 - 4 x$

Subtract $4 x$ from $10 x$ .

$- 2 y = 6 x + 2$

Divide each term in $- 2 y = 6 x + 2$ by $- 2$ and simplify.

Divide each term in $- 2 y = 6 x + 2$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Cancel the common factor of $6$ and $- 2$ .

Factor $2$ out of $6 x$ .

$y = \frac{2 (3 x)}{- 2} + \frac{2}{- 2}$

Move the negative one from the denominator of $\frac{3 x}{- 1}$ .

$y = - 1 \cdot (3 x) + \frac{2}{- 2}$

Rewrite $- 1 \cdot (3 x)$ as $- (3 x)$ .

$y = - (3 x) + \frac{2}{- 2}$

Multiply $3$ by $- 1$ .

$y = - 3 x + \frac{2}{- 2}$

Divide $2$ by $- 2$ .

$y = - 3 x - 1$