Answer:
y = -1/3x
Explanation:
The slope of that are perpendicular lines are negative opposites of each other. If a line has a slope of 3, then a line perpendicular to it will have a slope of (-(1/3)).
Use the equation of a line in point-slope form to solve this;
y = mx + b
where "m" is the slope and "b" is the y-intercept.
Substitute the slope in;
y = (-1/3)x + b
Since it passes through the origin, then it has no y-intercept, therefore the equation of the line is;
y = -1/3x