The equation $\frac{{\mathrm{T}}_{\mathrm{f}}-32}{180}=\frac{T_c}{100}$, relates the Fahrenheit and Celsius scale temperature. The T_F versus T_c graph will be a
 

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:

1. Rewriting the equation:

   T_f = 32180 + 100 · T_c

2. 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