The distance d of a point PP to the line through points AA and BB is the
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The distance d of a point PP to the line through points AA and BB is the length of the component of AP−→−AP→ that is orthogonal to AB−→−AB→, as indicated in the diagram.
So the distance from P=(−2,4) to the line through the points A=(−5,0) and B=(−3,−3) is
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