Question

brett must check and record the internal temperature of the freezer on an hourly basis. when working properly, the temperature should remain constant over time. what word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly? undefined positive negative zero

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line. In the context of temperature (y - variable) as a function of time (x - variable), if the temperature is constant, for any two points $(x_1,T_1)$ and $(x_2,T_2)$ where $T_1 = T_2$.

Step2: Calculate the slope

Substitute $y_1=T_1$, $y_2=T_2$, $x_1$ and $x_2$ into the slope formula. We get $m=\frac{T_2 - T_1}{x_2 - x_1}$. Since $T_1 = T_2$, then $T_2 - T_1=0$. So $m = \frac{0}{x_2 - x_1}=0$ (assuming $x_2
eq x_1$).

Answer:

zero