Finite Math Examples

$y - 4 = (\frac{2}{5}) (x - 2)$

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 $(\frac{2}{5}) (x - 2)$ .

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Step 2.1.1.1

Apply the distributive property.

$y - 4 = \frac{2}{5} x + \frac{2}{5} \cdot - 2$

Step 2.1.1.2

Combine $\frac{2}{5}$ and $x$ .

$y - 4 = \frac{2 x}{5} + \frac{2}{5} \cdot - 2$

Step 2.1.1.3

Multiply $\frac{2}{5} \cdot - 2$ .

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Step 2.1.1.3.1

Combine $\frac{2}{5}$ and $- 2$ .

$y - 4 = \frac{2 x}{5} + \frac{2 \cdot - 2}{5}$

Step 2.1.1.3.2

Multiply $2$ by $- 2$ .

$y - 4 = \frac{2 x}{5} + \frac{- 4}{5}$

Step 2.1.1.4

Move the negative in front of the fraction.

$y - 4 = \frac{2 x}{5} - \frac{4}{5}$

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 $4$ to both sides of the equation.

$y = \frac{2 x}{5} - \frac{4}{5} + 4$

Step 2.2.2

To write $4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{2 x}{5} - \frac{4}{5} + 4 \cdot \frac{5}{5}$

Step 2.2.3

Combine $4$ and $\frac{5}{5}$ .

$y = \frac{2 x}{5} - \frac{4}{5} + \frac{4 \cdot 5}{5}$

Step 2.2.4

Combine the numerators over the common denominator.

$y = \frac{2 x}{5} + \frac{- 4 + 4 \cdot 5}{5}$

Step 2.2.5

Simplify the numerator.

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Step 2.2.5.1

Multiply $4$ by $5$ .

$y = \frac{2 x}{5} + \frac{- 4 + 20}{5}$

Step 2.2.5.2

Add $- 4$ and $20$ .

$y = \frac{2 x}{5} + \frac{16}{5}$

Step 2.3

Reorder terms.

$y = \frac{2}{5} x + \frac{16}{5}$