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What is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)?

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  1. Point slope form is just y - y₁ = m (x - x₁)

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    Leo
  2. so now the task facing you is to find the slope. That is, of course
    m = (y2-y1)/(x2-x1) = 3/-3 = -1
    So now you can use point 1 to get
    y-5 = -1(x-2)
    or you can use point 2, since the equation holds for ANY point on the line.
    y-8 = -1(x+1)
    It is easy to see that these are both the same line

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    oobleck

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