Problem

K
Complete the sentence below.
For the graph of the linear function $f(x)=m x+b, m$ is the and $b$ is

For the graph of the linear function $f(x)=m x+b, m$ is the and $\mathrm{b}$ is

Answer

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Answer

Final Answer: For the graph of the linear function $f(x)=m x+b$, $m$ is the slope and $b$ is the y-intercept.

Steps

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.

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