as the x-values increase by 1, he y-values increase by 15 which equation shows this A. y=15+x B. y=15-x C. y=15x

The relationship described—where the \( y \)-values increase by 15 as the \( x \)-values increase by 1—suggests a linear relationship with a slope of 15. The slope represents how much \( y \) increases for each increase of 1 in \( x \), and in this case, it is given as 15.

The correct equation should be in the form:

\[
y = mx + b
\]

Where:
- \( m \) is the slope (rate of change),
- \( b \) is the y-intercept.

Since the slope is 15, the equation becomes:

\[
y = 15x
\]

Thus, **the correct answer is C: \( y = 15x \)**.

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. What is the y-intercept in the equation \( y = 15x \)?
2. How would the graph of \( y = 15x \) look?
3. What happens to the y-values if the slope changes to 10?
4. How can you calculate the slope from a table of values?
5. What does it mean if the slope is negative?

**Tip:** In a linear equation, the slope tells you how steep the line is and whether it increases or decreases.

As the x-values increase by 1, the y-values increase by 15. Which equation shows this? A. y = 15 + x B. y = 15 - x C. y = 15x

Explore how the equation y = 15x represents a linear relationship where the y-values increase by 15 for every unit increase in x. This solution focuses on slope-intercept form, understanding slope, and graphing linear equations. Suitable for students in Grades 6-8.

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