Write in y=mx+b Form 7y-13=-3(5-x)

$7 y - 13 = - 3 (5 - x)$

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 right side.

Simplify $- 3 (5 - x)$ .

Apply the distributive property.

$7 y - 13 = - 3 \cdot 5 - 3 (- x)$

Multiply.

Multiply $- 3$ by $5$ .

$7 y - 13 = - 15 - 3 (- x)$

Multiply $- 1$ by $- 3$ .

$7 y - 13 = - 15 + 3 x$

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

Add $13$ to both sides of the equation.

$7 y = - 15 + 3 x + 13$

Add $- 15$ and $13$ .

$7 y = 3 x - 2$

Divide each term in $7 y = 3 x - 2$ by $7$ and simplify.

Divide each term in $7 y = 3 x - 2$ by $7$ .

$\frac{7 y}{7} = \frac{3 x}{7} + \frac{- 2}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{3 x}{7} + \frac{- 2}{7}$

Divide $y$ by $1$ .

$y = \frac{3 x}{7} + \frac{- 2}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{3 x}{7} - \frac{2}{7}$

Reorder terms.

$y = \frac{3}{7} x - \frac{2}{7}$