Find the linear function, $f(x)=m x+b$, whose graph has the given slope and $y$-intercept. Slope is $-\frac{17}{13}$ and $y$-intercept is $(0,-3)$. The linear function is $f(x)=$

Step 1 ：We are given the slope \(m\) and the y-intercept \(b\). The slope-intercept form of the line is \(f(x) = mx + b\).

Step 2 ：Substitute the given values into this equation to find the equation of the line.

Step 3 ：Given: \(m = -\frac{17}{13}\), \(b = -3\)

Step 4 ：Substitute these values into the equation: \(f(x) = -\frac{17}{13}x - 3\)

Step 5 ：Final Answer: The equation of the line is \(\boxed{f(x) = -\frac{17}{13}x - 3}\).