Find the x and y Intercepts 3/(x+5)

$\frac{3}{x + 5}$

Step 1

Write $\frac{3}{x + 5}$ as an equation.

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

Step 2

Find the x-intercepts.

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

$0 = \frac{3}{x + 5}$

Solve the equation.

Set the numerator equal to zero.

$3 = 0$

Since $3 \neq 0$ , there are no solutions.

No solution

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

x-intercept(s): $None$

Step 3

Find the y-intercepts.

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

$y = \frac{3}{(0) + 5}$

Solve the equation.

Remove parentheses.

$y = \frac{3}{0 + 5}$

Remove parentheses.

$y = \frac{3}{(0) + 5}$

Add $0$ and $5$ .

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

y-intercept(s) in point form.

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

Step 4

List the intersections.

x-intercept(s): $None$

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

Step 5