The given equation is:

$F = \frac{9}{5}C + 32$

This equation represents a linear relationship between $F$ and $C$. In the general form of a linear equation $y = mx + b$, $m$ is the slope of the line.

Here, $F$ is the dependent variable, $C$ is the independent variable, $m = \frac{9}{5}$, and $b = 32$.

Slope

The slope $m$ of the equation is:

$m = \frac{9}{5}$

So, the slope $F$ is $\frac{9}{5}$.

Would you like more details or have any questions?

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Here are some related questions:

1. What does the slope represent in a linear equation?
2. How do you interpret the slope in real-world situations?
3. What is the significance of the y-intercept in a linear equation?
4. How do you find the slope between two points on a graph?
5. How do linear equations apply to temperature conversions like Celsius to Fahrenheit?

Tip: The slope of a linear equation shows how much the dependent variable changes for each unit increase in the independent variable.