Algebra 1

A line segment has endpoints D (3, 2) and E (-3, -2). The point F is the midpoint of DE. What is an equation of a line parallel to DE and passing through F?

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asked by Homura
  1. Since F lies on DE, all we need is the equation of DE
    We don't even need F

    slope DE = (-2-2)/(-3-3) = 2/3
    so y = (2/3)x + b
    but (3,2) lies on it, so
    2 = (2/3)(3) + b
    b = 0

    y = (2/3) x is the equation

    check:
    F is the origin (0,0) which satisfies y = (2/3)x

    A rather strangely worded question.

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    posted by Reiny

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