Find the x and y Intercepts 5/(3x+2)

$\frac{5}{3 x + 2}$

Write $\frac{5}{3 x + 2}$ as an equation.

$y = \frac{5}{3 x + 2}$

Find the x-intercepts.

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

$0 = \frac{5}{3 x + 2}$

Solve the equation.

Set the numerator equal to zero.

$5 = 0$

Since $5 \neq 0$ , there are no solutions.

No solution

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

x-intercept(s): $None$

Find the y-intercepts.

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

$y = \frac{5}{3 (0) + 2}$

Solve the equation.

Remove parentheses.

$y = \frac{5}{3 (0) + 2}$

Simplify the denominator.

Multiply $3$ by $0$ .

$y = \frac{5}{0 + 2}$

Add $0$ and $2$ .

$y = \frac{5}{2}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{5}{2})$

List the intersections.

x-intercept(s): $None$

y-intercept(s): $(0, \frac{5}{2})$