Calculus Examples

$y - 1 = 2 (x - 1)$

Step 1

Simplify $2 (x - 1)$ .

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Step 1.1

Rewrite.

$y - 1 = 0 + 0 + 2 (x - 1)$

Step 1.2

Simplify by adding zeros.

$y - 1 = 2 (x - 1)$

Step 1.3

Apply the distributive property.

$y - 1 = 2 x + 2 \cdot - 1$

Step 1.4

Multiply $2$ by $- 1$ .

$y - 1 = 2 x - 2$

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.

$y = 2 x - 2 + 1$

Step 2.2

Add $- 2$ and $1$ .

$y = 2 x - 1$