Calculus Examples

$y - 1 = 6 (x - \frac{π}{12})$

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 $6 (x - \frac{π}{12})$ .

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Step 2.1.1.1

Apply the distributive property.

$y - 1 = 6 x + 6 (- \frac{π}{12})$

Step 2.1.1.2

Cancel the common factor of $6$ .

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Step 2.1.1.2.1

Move the leading negative in $- \frac{π}{12}$ into the numerator.

$y - 1 = 6 x + 6 \frac{- π}{12}$

Step 2.1.1.2.2

Factor $6$ out of $12$ .

$y - 1 = 6 x + 6 \frac{- π}{6 (2)}$

Step 2.1.1.2.3

Cancel the common factor.

$y - 1 = 6 x + 6 \frac{- π}{6 \cdot 2}$

Step 2.1.1.2.4

Rewrite the expression.

$y - 1 = 6 x + \frac{- π}{2}$

Step 2.1.1.3

Move the negative in front of the fraction.

$y - 1 = 6 x - \frac{π}{2}$

Step 2.2

Add $1$ to both sides of the equation.

$y = 6 x - \frac{π}{2} + 1$

Step 2.3

Write in $y = m x + b$ form.

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Step 2.3.1

Write $1$ as a fraction with a common denominator.

$y = 6 x - \frac{π}{2} + \frac{2}{2}$

Step 2.3.2

Combine the numerators over the common denominator.

$y = 6 x + \frac{- π + 2}{2}$

Step 2.3.3

Factor $- 1$ out of $- π$ .

$y = 6 x + \frac{- (π) + 2}{2}$

Step 2.3.4

Rewrite $2$ as $- 1 (- 2)$ .

$y = 6 x + \frac{- (π) - 1 (- 2)}{2}$

Step 2.3.5

Factor $- 1$ out of $- (π) - 1 (- 2)$ .

$y = 6 x + \frac{- (π - 2)}{2}$

Step 2.3.6

Rewrite $- (π - 2)$ as $- 1 (π - 2)$ .

$y = 6 x + \frac{- 1 (π - 2)}{2}$

Step 2.3.7

Move the negative in front of the fraction.

$y = 6 x - \frac{π - 2}{2}$