Question 403703
remember the equation for a circle (centered at the origin) ___ x^2 + y^2 = r^2


the question is looking for the point on the line, closest to the origin (minimal r^2)


this would be a point on the line, where a perpendicular to the line passes through the origin
___ the equation of this line is ___ 2x - 6y = 0 or 2x = 6y or 6x = 18y


substituting ___ (18y) + 2y = 34 ___ 20y = 34 ___ y = 1.7 (or 17/10)


substituting ___ 2x = 6(1.7) ___ x = 5.1 (or 51/10)