Question

at work, 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? positive zero negative undefined

Explanation:

Step1: Recall slope formula

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

Step2: Calculate slope

Let $y_1$ and $y_2$ be temperatures at times $x_1$ and $x_2$ respectively. Since temperature is constant, $y_2 - y_1=0$. Then $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0}{x_2 - x_1}=0$ (assuming $x_2
eq x_1$).

Answer:

zero