Write in y=mx+b Form -1/5x-3y=39/5

$- \frac{1}{5} x - 3 y = \frac{39}{5}$

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.

Combine $x$ and $\frac{1}{5}$ .

$- \frac{x}{5} - 3 y = \frac{39}{5}$

Add $\frac{x}{5}$ to both sides of the equation.

$- 3 y = \frac{39}{5} + \frac{x}{5}$

Divide each term in $- 3 y = \frac{39}{5} + \frac{x}{5}$ by $- 3$ and simplify.

Divide each term in $- 3 y = \frac{39}{5} + \frac{x}{5}$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{\frac{39}{5}}{- 3} + \frac{\frac{x}{5}}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{\frac{39}{5}}{- 3} + \frac{\frac{x}{5}}{- 3}$

Divide $y$ by $1$ .

$y = \frac{\frac{39}{5}}{- 3} + \frac{\frac{x}{5}}{- 3}$

Simplify the right side.

Simplify each term.

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{39}{5} \cdot \frac{1}{- 3} + \frac{\frac{x}{5}}{- 3}$

Cancel the common factor of $3$ .

Factor $3$ out of $39$ .

$y = \frac{3 (13)}{5} \cdot \frac{1}{- 3} + \frac{\frac{x}{5}}{- 3}$

Factor $3$ out of $- 3$ .

$y = \frac{3 \cdot 13}{5} \cdot \frac{1}{3 \cdot - 1} + \frac{\frac{x}{5}}{- 3}$

Cancel the common factor.

$y = \frac{3 \cdot 13}{5} \cdot \frac{1}{3 \cdot - 1} + \frac{\frac{x}{5}}{- 3}$

Rewrite the expression.

$y = \frac{13}{5} \cdot \frac{1}{- 1} + \frac{\frac{x}{5}}{- 3}$

Multiply $\frac{13}{5}$ by $\frac{1}{- 1}$ .

$y = \frac{13}{5 \cdot - 1} + \frac{\frac{x}{5}}{- 3}$

Multiply $5$ by $- 1$ .

$y = \frac{13}{- 5} + \frac{\frac{x}{5}}{- 3}$

Move the negative in front of the fraction.

$y = - \frac{13}{5} + \frac{\frac{x}{5}}{- 3}$

Multiply the numerator by the reciprocal of the denominator.

$y = - \frac{13}{5} + \frac{x}{5} \cdot \frac{1}{- 3}$

Move the negative in front of the fraction.

$y = - \frac{13}{5} + \frac{x}{5} (- \frac{1}{3})$

Multiply $\frac{x}{5} (- \frac{1}{3})$ .

Multiply $\frac{x}{5}$ by $\frac{1}{3}$ .

$y = - \frac{13}{5} - \frac{x}{5 \cdot 3}$

Multiply $5$ by $3$ .

$y = - \frac{13}{5} - \frac{x}{15}$

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

Reorder $- \frac{13}{5}$ and $- \frac{x}{15}$ .

$y = - \frac{x}{15} - \frac{13}{5}$

Reorder terms.

$y = - (\frac{1}{15} x) - \frac{13}{5}$

Remove parentheses.

$y = - \frac{1}{15} x - \frac{13}{5}$

Write in y=mx+b Form -1/5x-3y=39/5

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