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Math Help - Find the point on the line 3x + 2y -3 = 0, which is closest to the point (1, -3)

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    Find the point on the line 3x + 2y -3 = 0, which is closest to the point (1, -3)

    Find the point on the line 3x + 2y -3 = 0, which is closest to the point (1, -3).

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    Quote Originally Posted by B-lap View Post
    Find the point on the line 3x + 2y -3 = 0, which is closest to the point (1, -3).
    Where does 2x-3y-11=0 intersect the given line?
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    Quote Originally Posted by B-lap View Post
    Find the point on the line 3x + 2y -3 = 0, which is closest to the point (1, -3).

    ( , ) ?
    Call this point (a,b). Solve line equation for y. Now use the distance formula between the point (1,-3) and (a,b).

    Two hints: 1) (a,b) = (a,f(a)) where f(a) is the y-value for x=a
    2) The distance formula has a nasty square-root. If you minimize D^2, you also minimize D. So you can drop the square root.

    Differentiate and find critical point.
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