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To determine which function has a steeper slope, we can compare the coefficients of x in both functions.
For f(x) = 2x - 3, the coefficient of x is 2.
For g(x) = -4x - 1, the coefficient of x is -4.
Since -4 is a larger magnitude than 2, we can conclude that g(x) = -4x - 1 has a steeper slope.