Precalculus Examples

$x = - 2 y - 2$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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 1.2

Rewrite the equation as $- 2 y - 2 = x$ .

$- 2 y - 2 = x$

Step 1.3

Add $2$ to both sides of the equation.

$- 2 y = x + 2$

Step 1.4

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

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Step 1.4.1

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

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

Step 1.4.2

Simplify the left side.

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Step 1.4.2.1

Cancel the common factor of $- 2$ .

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Step 1.4.2.1.1

Cancel the common factor.

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

Step 1.4.2.1.2

Divide $y$ by $1$ .

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

Step 1.4.3

Simplify the right side.

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Step 1.4.3.1

Simplify each term.

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Step 1.4.3.1.1

Move the negative in front of the fraction.

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

Step 1.4.3.1.2

Divide $2$ by $- 2$ .

$y = - \frac{x}{2} - 1$

Step 1.5

Write in $y = m x + b$ form.

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Step 1.5.1

Reorder terms.

$y = - (\frac{1}{2} x) - 1$

Step 1.5.2

Remove parentheses.

$y = - \frac{1}{2} x - 1$

Step 2

Using the slope-intercept form, the y-intercept is $- 1$ .

$b = - 1$

Step 3

y-intercept in point form.

$(0, - 1)$

Step 4

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