Calculus

Find the point on the line 6x + y = 9 that is closest to the point (-3,1).
Solution: We need to minimize the function
d =

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1. No, I think the way to do it is to determine the line perpendicular to the given line.

y=-6x+9
line perpendicular to this is
y=1/6 x + b. Now it includes (-3,1)
1=1/6*-3 + b so b is 3/2..check that.

Now, find the original point..
y=1/6x+3/2 and
y=-6x+9
solve these two, to get x,y.

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