Pre-Algebra Examples

$- 10 x - 5 y = 15$

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.

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Step 2.1

Add $10 x$ to both sides of the equation.

$- 5 y = 15 + 10 x$

Step 2.2

Divide each term in $- 5 y = 15 + 10 x$ by $- 5$ and simplify.

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Step 2.2.1

Divide each term in $- 5 y = 15 + 10 x$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{15}{- 5} + \frac{10 x}{- 5}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $- 5$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{15}{- 5} + \frac{10 x}{- 5}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{15}{- 5} + \frac{10 x}{- 5}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Simplify each term.

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Step 2.2.3.1.1

Divide $15$ by $- 5$ .

$y = - 3 + \frac{10 x}{- 5}$

Step 2.2.3.1.2

Cancel the common factor of $10$ and $- 5$ .

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Step 2.2.3.1.2.1

Factor $5$ out of $10 x$ .

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

Step 2.2.3.1.2.2

Move the negative one from the denominator of $\frac{2 x}{- 1}$ .

$y = - 3 - 1 \cdot (2 x)$

Step 2.2.3.1.3

Rewrite $- 1 \cdot (2 x)$ as $- (2 x)$ .

$y = - 3 - (2 x)$

Step 2.2.3.1.4

Multiply $2$ by $- 1$ .

$y = - 3 - 2 x$

Step 2.3

Reorder $- 3$ and $- 2 x$ .

$y = - 2 x - 3$