A linear function is given. Complete parts​ (a)-(d).
f left parenthesis x right parenthesis equals negative 3 x plus 4
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Part 1
​(a) Determine the slope and​ y-intercept of the function.
The slope is

enter your response here.

For the linear function \( f(x) = -3x + 4 \), the general form is:

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

Where:
- \( m \) is the slope.
- \( b \) is the y-intercept.

In your function:
- \( m = -3 \) (slope),
- \( b = 4 \) (y-intercept).

So, the slope is **-3** and the y-intercept is **4**.

Would you like me to assist with parts (b)-(d), or offer more details on how slope and y-intercept are determined?

Here are 5 related questions to consider:
1. How can you graph a linear function using its slope and y-intercept?
2. What happens to the graph when the slope changes but the y-intercept stays the same?
3. How do you find the x-intercept of a linear function?
4. Can a linear function have a slope of zero? What does that mean graphically?
5. What is the significance of a negative slope in a linear function?

**Tip**: The y-intercept tells you where the graph crosses the y-axis, while the slope determines how steep the line is!

A linear function is given. Complete parts​ (a)-(d). f(x) = -3x + 4. (a) Determine the slope and​ y-intercept of the function.

Learn how to determine the slope and y-intercept of the linear function f(x) = -3x + 4. This problem covers key concepts such as slope, y-intercept, and graphing linear functions. Suitable for students in Grades 8-10.

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