The slope of the W₂ (hanging mass) vs. acceleration graph represents the ratio of force to mass.
The mass of the system (cart mass plus added mass) is represented by the slope of the W₂ (hanging mass) vs. acceleration graph in the Newton's second law experiment.
The mass (m) is the total of the added mass and the cart mass, and the force acting on it is the weight of the hanging mass (W₃). The slope provides a quantitative measure of the total mass of the system by indicating the proportionality between the hanging mass and acceleration.