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Find the point on the line y equals 4x plus 7 that is closest to the origin?
Wiki User
∙ 14y ago
(28/17,7/17)
The point on the line closest to the origin is the point on a line through the origin that is perpendicular to the given line. Because the slope of the perpendicular is the negative reciprocal of the given line, it has a slope of -1/4 and is given by the equation:
y=(-1/4)x
The x-coordinate of the point of intersection is found by solving the following:
(-1/4)x=4x+7
-x=16x+28
-17x=28
x=-28/17
y=(-1/4)(-28/17)=7/17
Wiki User
∙ 14y ago
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