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The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
For the points (-2, 4) and (-2, -4), we have:
x₁ = -2, y₁ = 4
x₂ = -2, y₂ = -4
slope = (-4 - 4) / (-2 - (-2))
= (-8) / 0
Since the denominator is 0, the slope is undefined. This means the line is vertical.