You have provided the function \( k(x) = 6x + 100 \). This is a linear function, which follows the general form of a linear equation:

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

Where:
- \( m \) is the slope (in this case, \( 6 \)),
- \( b \) is the y-intercept (in this case, \( 100 \)).

### Key points:
1. The slope of \( k(x) \) is \( 6 \). This means that for every increase of 1 unit in \( x \), \( k(x) \) increases by 6 units.
2. The y-intercept is \( 100 \). This is the value of \( k(x) \) when \( x = 0 \).
3. The function represents a straight line with a positive slope, so it will rise as \( x \) increases.

If you'd like, I can help with further details such as graphing the function, finding specific values, or solving related problems.

Would you like any more details or have any specific questions?

Here are some related questions for further exploration:
1. What is the value of \( k(x) \) when \( x = 5 \)?
2. How do you find the x-intercept of \( k(x) \)?
3. What is the domain and range of the function \( k(x) \)?
4. How does changing the slope to 3 affect the graph of the function?
5. Can you find the inverse of \( k(x) = 6x + 100 \)?

**Tip:** When identifying the slope of a linear function, remember that it represents how steep the line is and whether it's increasing or decreasing.

Explore the linear function k(x) = 6x + 100, including how to find the slope and y-intercept. This detailed explanation covers key concepts in algebra, suitable for Grades 8-10. Learn how to interpret the slope, find specific values, and explore how changes to the function affect its graph.

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