Write in y=mx+b Form 3x+8y=2

$3 x + 8 y = 2$

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.

Subtract $3 x$ from both sides of the equation.

$8 y = 2 - 3 x$

Divide each term in $8 y = 2 - 3 x$ by $8$ and simplify.

Divide each term in $8 y = 2 - 3 x$ by $8$ .

$\frac{8 y}{8} = \frac{2}{8} + \frac{- 3 x}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{2}{8} + \frac{- 3 x}{8}$

Divide $y$ by $1$ .

$y = \frac{2}{8} + \frac{- 3 x}{8}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $2$ and $8$ .

Factor $2$ out of $2$ .

$y = \frac{2 (1)}{8} + \frac{- 3 x}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$y = \frac{2 \cdot 1}{2 \cdot 4} + \frac{- 3 x}{8}$

Cancel the common factor.

$y = \frac{2 \cdot 1}{2 \cdot 4} + \frac{- 3 x}{8}$

Rewrite the expression.

$y = \frac{1}{4} + \frac{- 3 x}{8}$

Move the negative in front of the fraction.

$y = \frac{1}{4} - \frac{3 x}{8}$

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

Reorder $\frac{1}{4}$ and $- \frac{3 x}{8}$ .

$y = - \frac{3 x}{8} + \frac{1}{4}$

Reorder terms.

$y = - (\frac{3}{8} x) + \frac{1}{4}$

Remove parentheses.

$y = - \frac{3}{8} x + \frac{1}{4}$