Find the point on the line y = 3x + 2 that is closest to the origin.

Question

(x, y) =

Answer 1

The formula for the distance from a point to a line is

d=(ax₀+by₀+c)/sqrt(a²+b²)

where (x₀,y₀) are the co-ordinates of the point and the equation of the line is ax+by+c=0.