Finite Math Examples

$- 6 x - 2 y = 10$

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 $6 x$ to both sides of the equation.

$- 2 y = 10 + 6 x$

Step 2.2

Divide each term in $- 2 y = 10 + 6 x$ by $- 2$ and simplify.

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Step 2.2.1

Divide each term in $- 2 y = 10 + 6 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{10}{- 2} + \frac{6 x}{- 2}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{10}{- 2} + \frac{6 x}{- 2}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{10}{- 2} + \frac{6 x}{- 2}$

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 $10$ by $- 2$ .

$y = - 5 + \frac{6 x}{- 2}$

Step 2.2.3.1.2

Cancel the common factor of $6$ and $- 2$ .

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Step 2.2.3.1.2.1

Factor $2$ out of $6 x$ .

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

Step 2.2.3.1.2.2

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

$y = - 5 - 1 \cdot (3 x)$

Step 2.2.3.1.3

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

$y = - 5 - (3 x)$

Step 2.2.3.1.4

Multiply $3$ by $- 1$ .

$y = - 5 - 3 x$

Step 2.3

Reorder $- 5$ and $- 3 x$ .

$y = - 3 x - 5$