Pre-Algebra Examples

$y = \frac{3}{4} + \frac{1}{6}$

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 $\frac{3}{4} + \frac{1}{6}$ .

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Step 1.2.1.1

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{3}{4} \cdot \frac{3}{3} + \frac{1}{6}$

Step 1.2.1.2

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = \frac{3}{4} \cdot \frac{3}{3} + \frac{1}{6} \cdot \frac{2}{2}$

Step 1.2.1.3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 1.2.1.3.1

Multiply $\frac{3}{4}$ by $\frac{3}{3}$ .

$y = \frac{3 \cdot 3}{4 \cdot 3} + \frac{1}{6} \cdot \frac{2}{2}$

Step 1.2.1.3.2

Multiply $4$ by $3$ .

$y = \frac{3 \cdot 3}{12} + \frac{1}{6} \cdot \frac{2}{2}$

Step 1.2.1.3.3

Multiply $\frac{1}{6}$ by $\frac{2}{2}$ .

$y = \frac{3 \cdot 3}{12} + \frac{2}{6 \cdot 2}$

Step 1.2.1.3.4

Multiply $6$ by $2$ .

$y = \frac{3 \cdot 3}{12} + \frac{2}{12}$

Step 1.2.1.4

Combine the numerators over the common denominator.

$y = \frac{3 \cdot 3 + 2}{12}$

Step 1.2.1.5

Simplify the numerator.

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Step 1.2.1.5.1

Multiply $3$ by $3$ .

$y = \frac{9 + 2}{12}$

Step 1.2.1.5.2

Add $9$ and $2$ .

$y = \frac{11}{12}$

Step 2

Using the slope-intercept form, the y-intercept is $\frac{11}{12}$ .

$b = \frac{11}{12}$

Step 3

y-intercept in point form.

$(0, \frac{11}{12})$

Step 4