Calculus Examples

$y - 1 = - \frac{1}{11} \cdot (x - 1)$

Step 1

Simplify $- \frac{1}{11} \cdot (x - 1)$ .

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Step 1.1

Rewrite.

$y - 1 = 0 + 0 - \frac{1}{11} \cdot (x - 1)$

Step 1.2

Simplify by adding zeros.

$y - 1 = - \frac{1}{11} \cdot (x - 1)$

Step 1.3

Apply the distributive property.

$y - 1 = - \frac{1}{11} x - \frac{1}{11} \cdot - 1$

Step 1.4

Combine $x$ and $\frac{1}{11}$ .

$y - 1 = - \frac{x}{11} - \frac{1}{11} \cdot - 1$

Step 1.5

Multiply $- \frac{1}{11} \cdot - 1$ .

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Step 1.5.1

Multiply $- 1$ by $- 1$ .

$y - 1 = - \frac{x}{11} + 1 (\frac{1}{11})$

Step 1.5.2

Multiply $\frac{1}{11}$ by $1$ .

$y - 1 = - \frac{x}{11} + \frac{1}{11}$

Step 2

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

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Step 2.1

Add $1$ to both sides of the equation.

$y = - \frac{x}{11} + \frac{1}{11} + 1$

Step 2.2

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

$y = - \frac{x}{11} + \frac{1}{11} + \frac{11}{11}$

Step 2.3

Combine the numerators over the common denominator.

$y = - \frac{x}{11} + \frac{1 + 11}{11}$

Step 2.4

Add $1$ and $11$ .

$y = - \frac{x}{11} + \frac{12}{11}$