Pre-Algebra Examples

$y = \frac{1}{2} - 4$

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 $\frac{1}{2} - 4$ .

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Step 1.2.1.1

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = \frac{1}{2} - 4 \cdot \frac{2}{2}$

Step 1.2.1.2

Combine $- 4$ and $\frac{2}{2}$ .

$y = \frac{1}{2} + \frac{- 4 \cdot 2}{2}$

Step 1.2.1.3

Combine the numerators over the common denominator.

$y = \frac{1 - 4 \cdot 2}{2}$

Step 1.2.1.4

Simplify the numerator.

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Step 1.2.1.4.1

Multiply $- 4$ by $2$ .

$y = \frac{1 - 8}{2}$

Step 1.2.1.4.2

Subtract $8$ from $1$ .

$y = \frac{- 7}{2}$

Step 1.2.1.5

Move the negative in front of the fraction.

$y = - \frac{7}{2}$

Step 2

Using the slope-intercept form, the y-intercept is $- \frac{7}{2}$ .

$b = - \frac{7}{2}$

Step 3

y-intercept in point form.

$(0, - \frac{7}{2})$

Step 4