Pre-Algebra Examples

$y = - \frac{10}{9} x - 3$

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

Simplify the right side.

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Step 1.2.1

Simplify each term.

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Step 1.2.1.1

Combine $x$ and $\frac{10}{9}$ .

$y = - \frac{x \cdot 10}{9} - 3$

Step 1.2.1.2

Move $10$ to the left of $x$ .

$y = - \frac{10 x}{9} - 3$

Step 1.3

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

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Step 1.3.1

Reorder terms.

$y = - (\frac{10}{9} x) - 3$

Step 1.3.2

Remove parentheses.

$y = - \frac{10}{9} x - 3$

Step 2

Using the slope-intercept form, the y-intercept is $- 3$ .

$b = - 3$

Step 3

y-intercept in point form.

$(0, - 3)$

Step 4