Finite Math Examples

$y = \frac{1}{8 x - \frac{3}{5}}$

Step 1

Find the x-intercepts.

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Step 1.1

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = \frac{1}{8 x - \frac{3}{5}}$

Step 1.2

Solve the equation.

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Step 1.2.1

Set the numerator equal to zero.

$1 = 0$

Step 1.2.2

Since $1 \neq 0$ , there are no solutions.

No solution

Step 1.3

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

x-intercept(s): $None$

Step 2

Find the y-intercepts.

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Step 2.1

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = \frac{1}{8 (0) - \frac{3}{5}}$

Step 2.2

Solve the equation.

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Step 2.2.1

Remove parentheses.

$y = \frac{1}{8 (0) - \frac{3}{5}}$

Step 2.2.2

Simplify $\frac{1}{8 (0) - \frac{3}{5}}$ .

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Step 2.2.2.1

Simplify the denominator.

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Step 2.2.2.1.1

Multiply $8$ by $0$ .

$y = \frac{1}{0 - \frac{3}{5}}$

Step 2.2.2.1.2

Subtract $\frac{3}{5}$ from $0$ .

$y = \frac{1}{- \frac{3}{5}}$

Step 2.2.2.2

Cancel the common factor of $1$ and $- 1$ .

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Step 2.2.2.2.1

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

$y = \frac{- 1 (- 1)}{- \frac{3}{5}}$

Step 2.2.2.2.2

Move the negative in front of the fraction.

$y = - \frac{1}{\frac{3}{5}}$

Step 2.2.2.3

Multiply the numerator by the reciprocal of the denominator.

$y = - (1 (\frac{5}{3}))$

Step 2.2.2.4

Multiply $\frac{5}{3}$ by $1$ .

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

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, - \frac{5}{3})$

Step 3

List the intersections.

x-intercept(s): $None$

y-intercept(s): $(0, - \frac{5}{3})$

Step 4