This is electricity and MAGNETISM practical questions. Solve all systematically. Create the exact graph, the way it is supposed to be plot.

This problem involves a meter bridge circuit. The total length of the meter bridge wire is $l = 1000 \text{ mm}$. The known resistor is $R = 680 \Omega$. The table provides values for the unknown resistor $R_x$ and the corresponding balance length $l_x$.

A critical observation: In a meter bridge, as the unknown resistance $R_x$ increases, the balance length $l_x$ (measured from the end connected to $R_x$) should also increase. However, the provided data shows that as $R_x$ increases, $l_x$ decreases. This indicates an inconsistency in the experimental data or how it's presented.

Given the instruction to "Plot a graph of $R_x$ against $(l-l_x)/l_x$" and "Determine the slope of your graph and state its significance," it is implied that a linear relationship is expected. The standard meter bridge equation is $\frac{R_x}{R} = \frac{l_x}{l-l_x}$, which implies $R_x = R \frac{l_x}{l-l_x}$. If we plot $R_x$ against $\frac{l-l_x}{l_x}$, this would result in a curve ($Y = R \cdot X^{-1}$).

To obtain a linear graph as typically expected in such problems, we must assume the meter bridge equation is interpreted as $\frac{R_x}{l-l_x} = \frac{R}{l_x}$, which rearranges to $R_x = R \left( \frac{l-l_x}{l_x} \right)$. Under this assumption, plotting $R_x$ (Y-axis) against $\frac{l-l_x}{l_x}$ (X-axis) would yield a straight line passing through the origin with a slope equal to $R$. We will proceed with this assumption to fulfill the requirement of finding a slope.