Calculus Examples

$(y - 1) = \sqrt{3} (x - \frac{π}{6})$

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.

Tap for more steps...

Step 2.1

Simplify the right side.

Tap for more steps...

Step 2.1.1

Simplify $\sqrt{3} (x - \frac{π}{6})$ .

Tap for more steps...

Step 2.1.1.1

Apply the distributive property.

$(y - 1) = \sqrt{3} x + \sqrt{3} (- \frac{π}{6})$

Step 2.1.1.2

Combine $\sqrt{3}$ and $\frac{π}{6}$ .

$(y - 1) = \sqrt{3} x - \frac{\sqrt{3} π}{6}$

Step 2.2

Add $1$ to both sides of the equation.

$y = \sqrt{3} x - \frac{\sqrt{3} π}{6} + 1$

Step 2.3

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

Tap for more steps...

Step 2.3.1

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

$y = \sqrt{3} x - \frac{\sqrt{3} π}{6} + \frac{6}{6}$

Step 2.3.2

Combine the numerators over the common denominator.

$y = \sqrt{3} x + \frac{- \sqrt{3} π + 6}{6}$

Step 2.3.3

Factor $- 1$ out of $- \sqrt{3} π$ .

$y = \sqrt{3} x + \frac{- (\sqrt{3} π) + 6}{6}$

Step 2.3.4

Rewrite $6$ as $- 1 (- 6)$ .

$y = \sqrt{3} x + \frac{- (\sqrt{3} π) - 1 (- 6)}{6}$

Step 2.3.5

Factor $- 1$ out of $- (\sqrt{3} π) - 1 (- 6)$ .

$y = \sqrt{3} x + \frac{- (\sqrt{3} π - 6)}{6}$

Step 2.3.6

Rewrite $- (\sqrt{3} π - 6)$ as $- 1 (\sqrt{3} π - 6)$ .

$y = \sqrt{3} x + \frac{- 1 (\sqrt{3} π - 6)}{6}$

Step 2.3.7

Move the negative in front of the fraction.

$y = \sqrt{3} x - \frac{\sqrt{3} π - 6}{6}$