Pre-Algebra Examples

$y = \frac{10}{3} - \frac{4 \cdot 3}{9}$

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 $\frac{10}{3} - \frac{4 \cdot 3}{9}$ .

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Step 1.2.1.1

Cancel the common factor of $3$ and $9$ .

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Step 1.2.1.1.1

Factor $3$ out of $4 \cdot 3$ .

$y = \frac{10}{3} - \frac{3 \cdot 4}{9}$

Step 1.2.1.1.2

Cancel the common factors.

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Step 1.2.1.1.2.1

Factor $3$ out of $9$ .

$y = \frac{10}{3} - \frac{3 \cdot 4}{3 \cdot 3}$

Step 1.2.1.1.2.2

Cancel the common factor.

$y = \frac{10}{3} - \frac{3 \cdot 4}{3 \cdot 3}$

Step 1.2.1.1.2.3

Rewrite the expression.

$y = \frac{10}{3} - \frac{4}{3}$

Step 1.2.1.2

Combine the numerators over the common denominator.

$y = \frac{10 - 4}{3}$

Step 1.2.1.3

Simplify the expression.

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Step 1.2.1.3.1

Subtract $4$ from $10$ .

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

Step 1.2.1.3.2

Divide $6$ by $3$ .

$y = 2$

Step 2

Using the slope-intercept form, the y-intercept is $2$ .

$b = 2$

Step 3

y-intercept in point form.

$(0, 2)$

Step 4