Draw the table of it and find it's slop

June 15, 2026Mathematics

ScanSolve AI Answer

Answer

\text{0.01 } \Omega/\text{cm}

Step-by-step solution

2 steps

Here is the table of values extracted from the graph:

Length (cm)	Resistance ( $\Omega$ )
0	0
20	0.2
40	0.4
60	0.6
80	0.8
100	1.0

Choose two points from the table to calculate the slope.
Let's use $(x_1, y_1) = (0 \text{ cm}, 0 \Omega)$ and $(x_2, y_2) = (100 \text{ cm}, 1.0 \Omega)$ .
Apply the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ .
$m = \frac{1.0 \Omega - 0 \Omega}{100 \text{ cm} - 0 \text{ cm}}$ $m = \frac{1.0 \Omega}{100 \text{ cm}}$ $m = 0.01 \frac{\Omega}{\text{cm}}$
The slope of the graph is $\text{0.01 } \Omega/\text{cm}$ .

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