Question 255361
step 1 - solve the equation for y. That is already done and given as
(i) {{{y = 3x + 4}}}
step 2 - find the slope of (i) and we get m = 3. 
step 3 find perpendicular slope. m = 3, so perpendicular means flip and change sign. Perp m = -1/3.
step 4 - using new slope and (6,-2) we put that information into
{{{y=mx+ b}}}to get
{{{-2 = (-1/3)*6 + b}}}
{{{-2 = -2 + b}}}
{{{b = 0}}}
step 5 - write the answer as
{{{y = (-1/3)x + 0}}}