# How do you find the linear function, f(x)=mx+b, whose graph has the given slope is -17/13 and y intercept is (0,-4)?

Jan 8, 2017

Linear function is $f \left(x\right) = - \frac{17}{13} x - 4$

#### Explanation:

In the linear function $f \left(x\right) = m x + b$, we have $m$ as slope and $b$ as $y$-intercept. As slope is $- \frac{17}{13}$ and at $x = 0$, $f \left(x\right) = - 4$, we have $b = - 4$

Hence, linear function is $f \left(x\right) = - \frac{17}{13} x - 4$.