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.