A graph is plotted taking `.^@C` along the Y-axis and `.^@F` along the X-axis. It is a/an

Options

A. parabola
B. straight line
C. ellipse
D. circle

Answer

To determine the nature of the graph plotted with degrees Celsius on the Y-axis and degrees Fahrenheit on the X-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship**:
We know the relationship between degrees Celsius (C) and degrees Fahrenheit (F) is given by the formula:
\[ F = 1.8C + 32 \]

2. **Rearranging the Equation**:
We can rearrange this equation to express Celsius in terms of Fahrenheit:
\[ C = \frac{F - 32}{1.8} \]
Here, we can let \( F \) be represented by \( x \) (the X-axis) and \( C \) be represented by \( y \) (the Y-axis). Thus, we have:
\[ y = \frac{x - 32}{1.8} \]

3. **Identifying the Form of the Equation**:
The equation \( y = \frac{1}{1.8}x - \frac{32}{1.8} \) is in the form of \( y = mx + c \), where:
- \( m = \frac{1}{1.8} \) (the slope)
- \( c = -\frac{32}{1.8} \) (the y-intercept)

4. **Conclusion**:
Since the equation is linear (in the form of \( y = mx + c \)), the graph of this relationship is a straight line.

### Final Answer:
The graph plotted with degrees Celsius on the Y-axis and degrees Fahrenheit on the X-axis is a **straight line**.

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