Pre-Algebra Examples

$y = \frac{2}{3} - 2 - 1$

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 $\frac{2}{3} - 2 - 1$ .

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Step 1.2.1.1

Find the common denominator.

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Step 1.2.1.1.1

Write $- 2$ as a fraction with denominator $1$ .

$y = \frac{2}{3} + \frac{- 2}{1} - 1$

Step 1.2.1.1.2

Multiply $\frac{- 2}{1}$ by $\frac{3}{3}$ .

$y = \frac{2}{3} + \frac{- 2}{1} \cdot \frac{3}{3} - 1$

Step 1.2.1.1.3

Multiply $\frac{- 2}{1}$ by $\frac{3}{3}$ .

$y = \frac{2}{3} + \frac{- 2 \cdot 3}{3} - 1$

Step 1.2.1.1.4

Write $- 1$ as a fraction with denominator $1$ .

$y = \frac{2}{3} + \frac{- 2 \cdot 3}{3} + \frac{- 1}{1}$

Step 1.2.1.1.5

Multiply $\frac{- 1}{1}$ by $\frac{3}{3}$ .

$y = \frac{2}{3} + \frac{- 2 \cdot 3}{3} + \frac{- 1}{1} \cdot \frac{3}{3}$

Step 1.2.1.1.6

Multiply $\frac{- 1}{1}$ by $\frac{3}{3}$ .

$y = \frac{2}{3} + \frac{- 2 \cdot 3}{3} + \frac{- 1 \cdot 3}{3}$

Step 1.2.1.2

Combine the numerators over the common denominator.

$y = \frac{2 - 2 \cdot 3 - 1 \cdot 3}{3}$

Step 1.2.1.3

Simplify each term.

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Step 1.2.1.3.1

Multiply $- 2$ by $3$ .

$y = \frac{2 - 6 - 1 \cdot 3}{3}$

Step 1.2.1.3.2

Multiply $- 1$ by $3$ .

$y = \frac{2 - 6 - 3}{3}$

Step 1.2.1.4

Simplify the expression.

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Step 1.2.1.4.1

Subtract $6$ from $2$ .

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

Step 1.2.1.4.2

Subtract $3$ from $- 4$ .

$y = \frac{- 7}{3}$

Step 1.2.1.4.3

Move the negative in front of the fraction.

$y = - \frac{7}{3}$

Step 2

Using the slope-intercept form, the y-intercept is $- \frac{7}{3}$ .

$b = - \frac{7}{3}$

Step 3

y-intercept in point form.

$(0, - \frac{7}{3})$

Step 4