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Find the point on the line y=5x+4 that is closest to the origin
5 months ago
Q:
Find the point on the line y=5x+4 that is closest to the origin
Accepted Solution
A:
That point will be on the perpendicular line through the origin,
y = (-1/5)x
so will satisfy
(-1/5)x = 5x +4
(-26/5)x = 4
x = 4*(-5/26) = -10/13
y = (-1/5)x = 2/13
The point of interest is (-10/13, 2/13)