Pre-Algebra Examples

$- 8 - 6 y = 30$

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

Move all terms not containing $y$ to the right side of the equation.

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Step 1.2.1

Add $8$ to both sides of the equation.

$- 6 y = 30 + 8$

Step 1.2.2

Add $30$ and $8$ .

$- 6 y = 38$

Step 1.3

Divide each term in $- 6 y = 38$ by $- 6$ and simplify.

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Step 1.3.1

Divide each term in $- 6 y = 38$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{38}{- 6}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $- 6$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{38}{- 6}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{38}{- 6}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Cancel the common factor of $38$ and $- 6$ .

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Step 1.3.3.1.1

Factor $2$ out of $38$ .

$y = \frac{2 (19)}{- 6}$

Step 1.3.3.1.2

Cancel the common factors.

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Step 1.3.3.1.2.1

Factor $2$ out of $- 6$ .

$y = \frac{2 \cdot 19}{2 \cdot - 3}$

Step 1.3.3.1.2.2

Cancel the common factor.

$y = \frac{2 \cdot 19}{2 \cdot - 3}$

Step 1.3.3.1.2.3

Rewrite the expression.

$y = \frac{19}{- 3}$

Step 1.3.3.2

Move the negative in front of the fraction.

$y = - \frac{19}{3}$

Step 2

Using the slope-intercept form, the y-intercept is $- \frac{19}{3}$ .

$b = - \frac{19}{3}$

Step 3

y-intercept in point form.

$(0, - \frac{19}{3})$

Step 4