Algebra Examples

$x = - 2 y - 2$

Rewrite in slope-intercept form.

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The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 2 y - 2 = x$

Add $2$ to both sides of the equation.

$- 2 y = x + 2$

Divide each term by $- 2$ and simplify.

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

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

Simplify the left side of the equation by cancelling the common factors.

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Reduce the expression by cancelling the common factors.

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Factor $2$ out of $2 y$ .

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

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

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

Rewrite $- 1 \cdot y$ as $- y$ .

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

Simplify each term.

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Move the negative in front of the fraction.

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

Divide $2$ by $- 2$ .

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

Rewrite in slope-intercept form.

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

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

$b = - 1$

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