Question 386692
The slope of the perpendicular line has to be the negative reciprocal of 1/3 (the slope of the given line), and so is -3.  The line then has form y = -3x + b.  To solve for b, use the coordinates of the given point:  1 = -3*-6 + b, or 1 = 18 + b, or b = -17.  The equation is then y = -3x-17.