Which of the following figure represents the relation between Celsius and Fahrenheit temperatures?

$$C = \frac{5}{9}(F - 32)$$

$$C = \frac{5}{9}F - \frac{160}{9}$$

• Slope: The slope ($$\frac{5}{9}$$) is positive, which indicates that the temperature in Celsius increases linearly as the Fahrenheit temperature increases.
• Vertical Intercept ($$C$$-axis): When $$F = 0$$, $$C = -\frac{160}{9} \approx -17.8$$. This means the graph must intersect the vertical axis below the origin.
• Horizontal Intercept ($$F$$-axis): When $$C = 0$$ (the freezing point of water), the equation gives $$F = 32$$. Therefore, the graph must intersect the horizontal axis at a positive value.
  

Among the provided figures, only graph (D) correctly illustrates this correctly.