Pre-Algebra Examples

$y = - \frac{2}{3} \cdot - 8 + 3$

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 $- \frac{2}{3} \cdot - 8 + 3$ .

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Step 1.2.1.1

Multiply $- \frac{2}{3} \cdot - 8$ .

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Step 1.2.1.1.1

Multiply $- 8$ by $- 1$ .

$y = 8 (\frac{2}{3}) + 3$

Step 1.2.1.1.2

Combine $8$ and $\frac{2}{3}$ .

$y = \frac{8 \cdot 2}{3} + 3$

Step 1.2.1.1.3

Multiply $8$ by $2$ .

$y = \frac{16}{3} + 3$

Step 1.2.1.2

To write $3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{16}{3} + 3 \cdot \frac{3}{3}$

Step 1.2.1.3

Combine $3$ and $\frac{3}{3}$ .

$y = \frac{16}{3} + \frac{3 \cdot 3}{3}$

Step 1.2.1.4

Combine the numerators over the common denominator.

$y = \frac{16 + 3 \cdot 3}{3}$

Step 1.2.1.5

Simplify the numerator.

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Step 1.2.1.5.1

Multiply $3$ by $3$ .

$y = \frac{16 + 9}{3}$

Step 1.2.1.5.2

Add $16$ and $9$ .

$y = \frac{25}{3}$

Step 2

Using the slope-intercept form, the slope is $0$ .

$m = 0$

Step 3