Find the x and y Intercepts (x-8)/(x+8)

$\frac{x - 8}{x + 8}$

Step 1

Write $\frac{x - 8}{x + 8}$ as an equation.

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

Step 2

Find the x-intercepts.

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

$0 = \frac{x - 8}{x + 8}$

Solve the equation.

Set the numerator equal to zero.

$x - 8 = 0$

Add $8$ to both sides of the equation.

$x = 8$

x-intercept(s) in point form.

x-intercept(s): $(8, 0)$

Step 3

Find the y-intercepts.

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

$y = \frac{(0) - 8}{(0) + 8}$

Solve the equation.

Remove parentheses.

$y = \frac{0 - 8}{(0) + 8}$

Remove parentheses.

$y = \frac{0 - 8}{0 + 8}$

Remove parentheses.

$y = \frac{(0) - 8}{(0) + 8}$

Simplify $\frac{(0) - 8}{(0) + 8}$ .

Cancel the common factor of $(0) - 8$ and $(0) + 8$ .

Factor $8$ out of $0$ .

$y = \frac{8 (0) - 8}{(0) + 8}$

Factor $8$ out of $- 8$ .

$y = \frac{8 \cdot 0 + 8 \cdot - 1}{(0) + 8}$

Factor $8$ out of $8 \cdot 0 + 8 \cdot - 1$ .

$y = \frac{8 \cdot (0 - 1)}{(0) + 8}$

Cancel the common factors.

Factor $8$ out of $0$ .

$y = \frac{8 \cdot (0 - 1)}{8 (0) + 8}$

Factor $8$ out of $8$ .

$y = \frac{8 \cdot (0 - 1)}{8 \cdot 0 + 8 \cdot 1}$

Factor $8$ out of $8 \cdot 0 + 8 \cdot 1$ .

$y = \frac{8 \cdot (0 - 1)}{8 \cdot (0 + 1)}$

Cancel the common factor.

$y = \frac{8 \cdot (0 - 1)}{8 \cdot (0 + 1)}$

Rewrite the expression.

$y = \frac{0 - 1}{0 + 1}$

Cancel the common factor of $0 - 1$ and $0 + 1$ .

Rewrite $0$ as $- 1 (0)$ .

$y = \frac{- 1 (0) - 1}{0 + 1}$

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

$y = \frac{- 1 \cdot 0 - 1 \cdot 1}{0 + 1}$

Factor $- 1$ out of $- 1 \cdot 0 - 1 \cdot 1$ .

$y = \frac{- 1 \cdot (0 + 1)}{0 + 1}$

Cancel the common factor.

$y = \frac{- 1 \cdot (0 + 1)}{0 + 1}$

Divide $- 1$ by $1$ .

$y = - 1$

y-intercept(s) in point form.

y-intercept(s): $(0, - 1)$

Step 4

List the intersections.

x-intercept(s): $(8, 0)$

y-intercept(s): $(0, - 1)$

Step 5

Find the x and y Intercepts (x-8)/(x+8)

Related Questions

Support LCMGCF.com by disabling your adblocker.