Finite Math Examples

$y = \frac{1}{- 8 x + 1}$

Step 1

Simplify $\frac{1}{- 8 x + 1}$ .

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Step 1.1

Factor $- 1$ out of $- 8 x$ .

$y = \frac{1}{- (8 x) + 1}$

Step 1.2

Rewrite $1$ as $- 1 (- 1)$ .

$y = \frac{1}{- (8 x) - 1 (- 1)}$

Step 1.3

Factor $- 1$ out of $- (8 x) - 1 (- 1)$ .

$y = \frac{1}{- (8 x - 1)}$

Step 1.4

Rewrite negatives.

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Step 1.4.1

Rewrite $- (8 x - 1)$ as $- 1 (8 x - 1)$ .

$y = \frac{1}{- 1 (8 x - 1)}$

Step 1.4.2

Move the negative in front of the fraction.

$y = - \frac{1}{8 x - 1}$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

Not Linear