Find the point on the line y = 5x + 2 that is closest to the origin.?

Answer 1

Describe a perpendicular line that passes through the origin. Then see where the 2 lines intersect

y = (-1/5) * x

(-1/5) * x = 5x + 2
-x = 25x + 10
-26x = 10
-13x = 5
x = -5/13

y = (-1/5) * x
y = 1/13

(-5/13 , 1/13)

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