Calculus Examples

$y - 2 = - \frac{1}{9} \cdot (x - 2)$

Step 1

Simplify $- \frac{1}{9} \cdot (x - 2)$ .

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Step 1.1

Rewrite.

$y - 2 = 0 + 0 - \frac{1}{9} \cdot (x - 2)$

Step 1.2

Simplify by adding zeros.

$y - 2 = - \frac{1}{9} \cdot (x - 2)$

Step 1.3

Apply the distributive property.

$y - 2 = - \frac{1}{9} x - \frac{1}{9} \cdot - 2$

Step 1.4

Combine $x$ and $\frac{1}{9}$ .

$y - 2 = - \frac{x}{9} - \frac{1}{9} \cdot - 2$

Step 1.5

Multiply $- \frac{1}{9} \cdot - 2$ .

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Step 1.5.1

Multiply $- 2$ by $- 1$ .

$y - 2 = - \frac{x}{9} + 2 (\frac{1}{9})$

Step 1.5.2

Combine $2$ and $\frac{1}{9}$ .

$y - 2 = - \frac{x}{9} + \frac{2}{9}$

Step 2

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

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Step 2.1

Add $2$ to both sides of the equation.

$y = - \frac{x}{9} + \frac{2}{9} + 2$

Step 2.2

To write $2$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$y = - \frac{x}{9} + \frac{2}{9} + 2 \cdot \frac{9}{9}$

Step 2.3

Combine $2$ and $\frac{9}{9}$ .

$y = - \frac{x}{9} + \frac{2}{9} + \frac{2 \cdot 9}{9}$

Step 2.4

Combine the numerators over the common denominator.

$y = - \frac{x}{9} + \frac{2 + 2 \cdot 9}{9}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $2$ by $9$ .

$y = - \frac{x}{9} + \frac{2 + 18}{9}$

Step 2.5.2

Add $2$ and $18$ .

$y = - \frac{x}{9} + \frac{20}{9}$