Pre-Algebra Examples

$y = - \frac{3}{4} + 2$

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 $- \frac{3}{4} + 2$ .

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Step 1.2.1.1

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

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

Step 1.2.1.2

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

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

Step 1.2.1.3

Combine the numerators over the common denominator.

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

Step 1.2.1.4

Simplify the numerator.

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Step 1.2.1.4.1

Multiply $2$ by $4$ .

$y = \frac{- 3 + 8}{4}$

Step 1.2.1.4.2

Add $- 3$ and $8$ .

$y = \frac{5}{4}$

Step 2

Using the slope-intercept form, the y-intercept is $\frac{5}{4}$ .

$b = \frac{5}{4}$

Step 3

y-intercept in point form.

$(0, \frac{5}{4})$

Step 4