A linear function f can be written in the form ​f(x)equals=mxplus+b. Identify m and b for the given​ f(x).

​f(x)equals=2828minus−66x

The given linear function is:

\[ f(x) = 28 - 6x \]

To identify the values of \( m \) and \( b \), we can rewrite the function in the standard linear form:

\[ f(x) = mx + b \]

Let's rewrite the given function in this form:

\[ f(x) = -6x + 28 \]

Here, we can see that:

- \( m = -6 \) (the coefficient of \( x \))
- \( b = 28 \) (the constant term)

So, the values are:

- \( m = -6 \)
- \( b = 28 \)

Would you like to go into more details or have any questions?

Here are some related questions you might find helpful:
1. How do you determine the slope \( m \) and intercept \( b \) from a graph of a linear function?
2. What does the slope \( m \) represent in the context of a linear function?
3. How would the graph of \( f(x) = -6x + 28 \) look?
4. What is the significance of the y-intercept \( b \) in a linear equation?
5. How would you solve for \( x \) when \( f(x) = 0 \) in the equation \( f(x) = -6x + 28 \)?

**Tip:** Always ensure the function is in the standard form \( f(x) = mx + b \) to easily identify the slope and y-intercept.

Learn how to identify the slope and y-intercept of a linear function f(x) = -6x + 28. This problem covers key concepts such as linear functions, slope, and y-intercept. Suitable for students in Grades 7-9.

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