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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Let the points are A (-4, 6) and B(-4, -6). Slope of the line joining the points A and B ⇒ m₁ = (y₂ - y₁)/(x₂ - x₁) ⇒ m₁ = (-6 - 6)/(-4 + 4) ⇒ m₁ = -12/0 = ∞ Now , To check whether a point P(-4, 2) is lies on the line segment AB or not . We find the slope of line segment AP. ⇒m₂ = (2 - 6)/(-4 + 4) ⇒m₂ = -4/0 = ∞ ⇒m₂ = ∞ since, m₁ = m₂. And hence Point 'P' lies on the line segment AB.