Linear Algebra Examples

$y - 4 = - 2 (x - 2)$

Step 1

Simplify $- 2 (x - 2)$ .

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Step 1.1

Rewrite.

$y - 4 = 0 + 0 - 2 (x - 2)$

Step 1.2

Simplify by adding zeros.

$y - 4 = - 2 (x - 2)$

Step 1.3

Apply the distributive property.

$y - 4 = - 2 x - 2 \cdot - 2$

Step 1.4

Multiply $- 2$ by $- 2$ .

$y - 4 = - 2 x + 4$

Step 2

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

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Step 2.1

Add $4$ to both sides of the equation.

$y = - 2 x + 4 + 4$

Step 2.2

Add $4$ and $4$ .

$y = - 2 x + 8$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 4