Linear Algebra Examples

$y - 9 = \frac{3}{5} x$

Step 1

Simplify $\frac{3}{5} x$ .

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Step 1.1

Rewrite.

$y - 9 = 0 + 0 + \frac{3}{5} x$

Step 1.2

Simplify by adding zeros.

$y - 9 = \frac{3}{5} x$

Step 1.3

Combine $\frac{3}{5}$ and $x$ .

$y - 9 = \frac{3 x}{5}$

Step 2

Add $9$ to both sides of the equation.

$y = \frac{3 x}{5} + 9$

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