This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here is the table of values extracted from the graph: | Length (cm) | Resistance () | | :---------- | :-------------------- | | 0 | 0 | | 20 | 0.2 | | 40 | 0.4 | | 60 | 0.6 | | 80 | 0.8 | | 100 | 1.0 | Step 1: Choose two points from the table to calculate the slope. Let's use (x_1, y_1) = (0 cm, 0 ) and (x_2, y_2) = (100 cm, 1.0 ). Step 2: Apply the slope formula m = (y_2 - y_1)/(x_2 - x_1). m = (1.0 - 0 )/(100 cm) - 0 cm m = (1.0 )/(100 cm) m = 0.01 ()/(cm) The slope of the graph is 0.01 /cm. That's 2 down. 3 left today — send the next one.