yusty0802 yusty0802

29-03-2018
Mathematics

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Find the point on the line y = 4x + 3 that is closest to the origin.

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sqdancefan sqdancefan

29-03-2018

That point will be where the perpendicular line through the origin intersects the given line.
.. (-1/4)x = 4x +3
.. -3 = (17/4)x
.. -12/17 = x

The point on the given line that is closest to the origin is (-12/17, 3/17).

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