Question 461919
The equation is equivalent to y + 3x = 7.

Any line perpendicular to this must then have the form 3y - x = c, where c is an undetermined constant.  To find the value of c, use the coordinates of the given point into this line:

3*(-6) - 0 = c ==> c = -18.

Hence the equation of the line is 3y - x = -18.