Asked by Manny
                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 =
            
            
        Solution: We need to minimize the function
d =
Answers
                    Answered by
            bobpursley
            
    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.
    
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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