find the linear function f(x)=mx +b, whose graph has the given slope and y-intercept

slope is -13/9 and y-intercept is (0.-6)

the linear function is f(x)=

In the function

f(x) = mx+b
m is the slope, and b is the y-intercept, i.e. for the point (0,b).
Can you take it from here?

To find the linear function \(f(x)=mx + b\) given the slope and y-intercept, you can substitute the values into the equation.

Given that the slope is \(-\frac{13}{9}\) and the y-intercept is \((0, -6)\), we can substitute these values into the equation.

Substituting the slope \(-\frac{13}{9}\) in place of \(m\) and the y-intercept \((0, -6)\), in place of \(x\) and \(b\), respectively, the linear function becomes:

\(f(x) = -\frac{13}{9}x - 6\)

Therefore, the linear function is \(f(x) = -\frac{13}{9}x - 6\).