# How do you find the zero of f(x)=9x+5?

Nov 27, 2016

$x = - \frac{5}{9}$

#### Explanation:

A zero of a function $f$ occurs whenever $f \left(x\right) = 0$. Here, since $f \left(x\right) = 9 x + 5$, this means there is a zero when

$9 x + 5 = 0$

Solving this yields

$9 x = - 5$

$x = - \frac{5}{9}$

If we graph the linear function $f \left(x\right) = 5 x + 9$, the graph should cross the $x$-axis at $x = - \frac{5}{9}$, which is the point $\left(- \frac{5}{9} , 0\right)$.