Pre-Algebra Examples

$y = \frac{X^{2} - 4}{X^{2} - 9}$

Step 1

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

$y = \frac{{(0)}^{2} - 4}{{(0)}^{2} - 9}$

Step 2

Solve the equation.

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Step 2.1

Remove parentheses.

$y = \frac{0^{2} - 4}{{(0)}^{2} - 9}$

Step 2.2

Remove parentheses.

$y = \frac{0^{2} - 4}{0^{2} - 9}$

Step 2.3

Remove parentheses.

$y = \frac{{(0)}^{2} - 4}{{(0)}^{2} - 9}$

Step 2.4

Simplify $\frac{{(0)}^{2} - 4}{{(0)}^{2} - 9}$ .

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Step 2.4.1

Simplify the numerator.

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Step 2.4.1.1

Raising $0$ to any positive power yields $0$ .

$y = \frac{0 - 4}{0^{2} - 9}$

Step 2.4.1.2

Subtract $4$ from $0$ .

$y = \frac{- 4}{0^{2} - 9}$

Step 2.4.2

Simplify the denominator.

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Step 2.4.2.1

Raising $0$ to any positive power yields $0$ .

$y = \frac{- 4}{0 - 9}$

Step 2.4.2.2

Subtract $9$ from $0$ .

$y = \frac{- 4}{- 9}$

Step 2.4.3

Dividing two negative values results in a positive value.

$y = \frac{4}{9}$

Step 3

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{4}{9})$

Step 4