The resistance (R) in a wire increases when the length of the wire (L) increases. Write the correct equation for this scenario, and solve for when the length is 1.
Length-Resistance
10-2
15-3

Question

The resistance (R) in a wire increases when the length of the wire (L) increases. Write the correct equation for this scenario, and solve for when the length is 1.
Length-Resistance 
10-2
15-3

anonymous · Answer

Disregarding the physics part, the length can be viewed as the x values and the resistance as the y values. And so this can be written as:

(10,2)
(15,3)

Thus, you have 2 points which allow you to express the relationship as a linear equation $y=mx+b$. You can find $m$ by finding the change in y over the change in x and then using any of those point to find the value of $b$. Finally with the equation you can find the resistance when the length is 1.