Question

the graph shows the electrical resistance of a wire as a function of its length. determine the slope of the line and indicate the units on the slope. resistance (milliohm) length (m) slope: units: (tap to toggle thru options.)

Explanation:

Step1: Select two points

Let's take two points from the graph: (2, 25) and (6, 75).

Step2: Apply slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 2$, $y_1=25$, $x_2 = 6$, $y_2 = 75$. So $m=\frac{75 - 25}{6 - 2}=\frac{50}{4}=12.5$.

Step3: Determine units

The $y$-axis is in milliOhm and the $x$-axis is in meters. So the units of the slope are milliOhm per meter (milliOhm/m).

Answer:

Slope: 12.5
Units: milliOhm/m