Pre-Algebra Examples

$- y = - 7 x + 32$

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

Divide each term in $- y = - 7 x + 32$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- y = - 7 x + 32$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 7 x}{- 1} + \frac{32}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 7 x}{- 1} + \frac{32}{- 1}$

Step 2.2.2

Divide $y$ by $1$ .

$y = \frac{- 7 x}{- 1} + \frac{32}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Move the negative one from the denominator of $\frac{- 7 x}{- 1}$ .

$y = - 1 \cdot (- 7 x) + \frac{32}{- 1}$

Step 2.3.1.2

Rewrite $- 1 \cdot (- 7 x)$ as $- (- 7 x)$ .

$y = - (- 7 x) + \frac{32}{- 1}$

Step 2.3.1.3

Multiply $- 7$ by $- 1$ .

$y = 7 x + \frac{32}{- 1}$

Step 2.3.1.4

Divide $32$ by $- 1$ .

$y = 7 x - 32$