The equation \( y = 50 + 0.15x \) represents a linear relationship between \( y \) and \( x \). Here’s a breakdown of the equation:

- **Slope**: The coefficient of \( x \) is \( 0.15 \), which means for every unit increase in \( x \), \( y \) increases by 0.15 units.
- **Y-intercept**: The constant \( 50 \) represents the value of \( y \) when \( x = 0 \). So, the graph crosses the y-axis at \( y = 50 \).

This equation describes a straight line with a positive slope.

### Example:
- If \( x = 10 \), then:
  \[
  y = 50 + 0.15(10) = 50 + 1.5 = 51.5
  \]

Would you like more details or further examples on this equation?

### Related Questions:
1. What is the significance of the slope and intercept in practical terms?
2. How would the graph of this equation look?
3. What happens if \( x \) is a negative number?
4. How can you solve for \( x \) given a specific value of \( y \)?
5. How does changing the slope (0.15) affect the graph?

**Tip**: For linear equations, the slope tells you how steep the line is, while the intercept shows where the line crosses the y-axis.

Explore the linear equation y = 50 + 0.15x. This tutorial covers key algebraic concepts such as slope and y-intercept, showing how each term influences the graph. Learn through an example calculation and visual representation. Suitable for students in Grades 6-8.

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