slope: formula: z = multipliers y = share prices = delta_z / delta_y = (z2 - z1) --- (y2 - y1) priorities, the slopes of the line from: 1. 0 to the break even, this always = 0 2. break even to infinity example: [{ "strike price": Fraction (7.5), "option price": Fraction (0.15), }, { "strike price": Fraction (5), "option price": Fraction (0.3) }, { "strike price": Fraction (2.5), "option price": Fraction (3.2), }] index 0: strike price: 7.5 option price: 0.15 break even: 7.65 0 to break even: (0 - 0) / break even to infinity: break even + 1: multiplier = (share_price - strike_price) / expense = (8.65 - 7.5) / 0.15 = 1.15 / 0.15 = 23/3 = 7 2/3 slope = (23/3 - 0) / (8.65 - 7.65) slope = (23/3) / 1 slope = 23/3 break even + 2: multiplier = (share_price - strike_price) / expense = (9.65 - 7.5) / 0.15 = 2.15 / 0.15 = 43/3 slope = (43/3 - 23/3) / (9.65 - 8.65) slope = (20/3) / 1 slope = 20/3