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 \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(8,100)\) from the graph.

Step2: Apply slope - formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substituting the values, we get \(m=\frac{100 - 0}{8 - 0}=\frac{100}{8}= 12.5\).

Answer:

Slope: \(12.5\)
Units: milliOhm/m