Write in y=mx+b Form 10x-6y=-48

$10 x - 6 y = - 48$

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 $10 x$ from both sides of the equation.

$- 6 y = - 48 - 10 x$

Divide each term in $- 6 y = - 48 - 10 x$ by $- 6$ and simplify.

Divide each term in $- 6 y = - 48 - 10 x$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{- 48}{- 6} + \frac{- 10 x}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{- 48}{- 6} + \frac{- 10 x}{- 6}$

Divide $y$ by $1$ .

$y = \frac{- 48}{- 6} + \frac{- 10 x}{- 6}$

Simplify the right side.

Simplify each term.

Divide $- 48$ by $- 6$ .

$y = 8 + \frac{- 10 x}{- 6}$

Cancel the common factor of $- 10$ and $- 6$ .

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

$y = 8 + \frac{- 2 (5 x)}{- 6}$

Cancel the common factors.

Factor $- 2$ out of $- 6$ .

$y = 8 + \frac{- 2 (5 x)}{- 2 (3)}$

Cancel the common factor.

$y = 8 + \frac{- 2 (5 x)}{- 2 \cdot 3}$

Rewrite the expression.

$y = 8 + \frac{5 x}{3}$

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

Reorder $8$ and $\frac{5 x}{3}$ .

$y = \frac{5 x}{3} + 8$

Reorder terms.

$y = \frac{5}{3} x + 8$