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

$3 x = 5 - y$

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.

Rewrite the equation as $5 - y = 3 x$ .

$5 - y = 3 x$

Subtract $5$ from both sides of the equation.

$- y = 3 x - 5$

Divide each term in $- y = 3 x - 5$ by $- 1$ and simplify.

Divide each term in $- y = 3 x - 5$ by $- 1$ .

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

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

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

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

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

Multiply $3$ by $- 1$ .

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

Divide $- 5$ by $- 1$ .

$y = - 3 x + 5$