Step 1 :The question is asking for the roles of 'm' and 'b' in the linear function $f(x)=mx+b$.
Step 2 :In a linear function, 'm' represents the slope of the line and 'b' represents the y-intercept.
Step 3 :The slope 'm' determines the steepness of the line and the direction (upwards or downwards).
Step 4 :The y-intercept 'b' is the point where the line crosses the y-axis. This is the value of 'f(x)' when 'x' is zero.
Step 5 :Final Answer: For the graph of the linear function $f(x)=m x+b$, $m$ is the slope and $b$ is the y-intercept.