The equation $\frac{T_{f} - 32}{180} = \frac{T_{c}}{100}$ , relates the Fahrenheit and Celsius scale temperature. The T_Fversus T_c graph will be a

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parabolic curve

straight line parallel to x-axis

straight line parallel to y-axis

straight line inclined to x-axis

answer is C.

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Detailed Solution

Temperature Conversion Equation

The equation T_f - 32180 = T_c · 100, relates the Fahrenheit and Celsius scale temperatures. Let's analyze it:

Step-by-step Solution:

Rewriting the equation:
T_f = 32180 + 100 · T_c
This is a linear equation of the form:
T_f = m. T_c + c
Where:
- m = 100 (slope)
- c = 32180 (y-intercept)

Since the equation is linear and has a nonzero slope, the graph is a straight line inclined to the x-axis (T_c-axis).

c. straight line inclined to x-axis

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