Finite Math Examples

$y - 2 = \frac{1}{2} \cdot (x - 1)$

Step 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 2

Rewrite in slope-intercept form.

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Step 2.1

Simplify the right side.

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Step 2.1.1

Simplify $\frac{1}{2} \cdot (x - 1)$ .

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Step 2.1.1.1

Apply the distributive property.

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

Step 2.1.1.2

Combine $\frac{1}{2}$ and $x$ .

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

Step 2.1.1.3

Combine $\frac{1}{2}$ and $- 1$ .

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

Step 2.1.1.4

Move the negative in front of the fraction.

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

Step 2.2

Move all terms not containing $y$ to the right side of the equation.

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Step 2.2.1

Add $2$ to both sides of the equation.

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

Step 2.2.2

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

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

Step 2.2.3

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

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

Step 2.2.4

Combine the numerators over the common denominator.

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

Step 2.2.5

Simplify the numerator.

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Step 2.2.5.1

Multiply $2$ by $2$ .

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

Step 2.2.5.2

Add $- 1$ and $4$ .

$y = \frac{x}{2} + \frac{3}{2}$

Step 2.3

Reorder terms.

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