Pre-Algebra Examples

$y = \frac{4}{3} \cdot 10 + 2$

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 $\frac{4}{3} \cdot 10 + 2$ .

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Step 1.2.1.1

Multiply $\frac{4}{3} \cdot 10$ .

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Step 1.2.1.1.1

Combine $\frac{4}{3}$ and $10$ .

$y = \frac{4 \cdot 10}{3} + 2$

Step 1.2.1.1.2

Multiply $4$ by $10$ .

$y = \frac{40}{3} + 2$

Step 1.2.1.2

To write $2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{40}{3} + 2 \cdot \frac{3}{3}$

Step 1.2.1.3

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

$y = \frac{40}{3} + \frac{2 \cdot 3}{3}$

Step 1.2.1.4

Combine the numerators over the common denominator.

$y = \frac{40 + 2 \cdot 3}{3}$

Step 1.2.1.5

Simplify the numerator.

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Step 1.2.1.5.1

Multiply $2$ by $3$ .

$y = \frac{40 + 6}{3}$

Step 1.2.1.5.2

Add $40$ and $6$ .

$y = \frac{46}{3}$

Step 2

Using the slope-intercept form, the y-intercept is $\frac{46}{3}$ .

$b = \frac{46}{3}$

Step 3

y-intercept in point form.

$(0, \frac{46}{3})$

Step 4