Pre-Algebra Examples

$8 x + 9 y = - 10$

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

Subtract $8 x$ from both sides of the equation.

$9 y = - 10 - 8 x$

Step 1.3

Divide each term in $9 y = - 10 - 8 x$ by $9$ and simplify.

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Step 1.3.1

Divide each term in $9 y = - 10 - 8 x$ by $9$ .

$\frac{9 y}{9} = \frac{- 10}{9} + \frac{- 8 x}{9}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $9$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{9 y}{9} = \frac{- 10}{9} + \frac{- 8 x}{9}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 10}{9} + \frac{- 8 x}{9}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Simplify each term.

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Step 1.3.3.1.1

Move the negative in front of the fraction.

$y = - \frac{10}{9} + \frac{- 8 x}{9}$

Step 1.3.3.1.2

Move the negative in front of the fraction.

$y = - \frac{10}{9} - \frac{8 x}{9}$

Step 1.4

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

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Step 1.4.1

Reorder $- \frac{10}{9}$ and $- \frac{8 x}{9}$ .

$y = - \frac{8 x}{9} - \frac{10}{9}$

Step 1.4.2

Reorder terms.

$y = - (\frac{8}{9} x) - \frac{10}{9}$

Step 1.4.3

Remove parentheses.

$y = - \frac{8}{9} x - \frac{10}{9}$

Step 2

Using the slope-intercept form, the y-intercept is $- \frac{10}{9}$ .

$b = - \frac{10}{9}$

Step 3

y-intercept in point form.

$(0, - \frac{10}{9})$

Step 4