SOLUTION: Find the coordinates of the point on the line y=4x+1 closest to (2,0)

Question 354706: Find the coordinates of the point on the line y=4x+1 closest to (2,0)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
It's on the line thru the point (2,0) that's perpendicular to the line y = 4x+1
Slope = -1/4 thru (2,0)
Use y = mx + b and the point to find b
0 = (-1/4)*2 + b
b = 1/2
--> y = (-1/4)x + 1/2
It's the intersection of those two lines.
4x+1 = -x/4 + 1/2
16x+4 = -x + 2
17x = -2
x = -2/17, y = 9/17
(-2/17,9/17)
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