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:

Explanation:

Step1: Select two points

Let's choose $(0,0)$ and $(6,100)$.

Step2: Apply slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 0,x_2=6,y_2 = 100$. So $m=\frac{100 - 0}{6 - 0}=\frac{100}{6}=\frac{50}{3}\approx16.67$.

Answer:

Slope: $\frac{50}{3}$
Units: $\text{milliOhm/m}$