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Question #14ca3

1 Answer

Oct 15, 2016

#d^2=5/9x^2+52/9x+169/9#

Explanation:

For any #x#, the Cartesian coordinates of the point on the equation #y=2/3x+13/3#
would be #(x,2/3x+13/3)#

The square of the distance from the origin, #(0,0)#,
using the Pythagorean Theorem, would be
#color(white)("XXX")d^2=(x-0)^2+(2/3x+13/3-0)^2#

#color(white)("XXX")=x^2-(4/9)x^2+52/9x+169/9#

#color(white)("XXX")=5/9x^2+52/9x+169/9#

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