Pre-Algebra Examples

$y - 9 = - \frac{4}{5} x$

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 $- \frac{4}{5} x$ .

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Step 1.2.1.1

Combine $x$ and $\frac{4}{5}$ .

$y - 9 = - \frac{x \cdot 4}{5}$

Step 1.2.1.2

Move $4$ to the left of $x$ .

$y - 9 = - \frac{4 x}{5}$

Step 1.3

Add $9$ to both sides of the equation.

$y = - \frac{4 x}{5} + 9$

Step 1.4

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

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Step 1.4.1

Reorder terms.

$y = - (\frac{4}{5} x) + 9$

Step 1.4.2

Remove parentheses.

$y = - \frac{4}{5} x + 9$

Step 2

Using the slope-intercept form, the slope is $- \frac{4}{5}$ .

$m = - \frac{4}{5}$

Step 3