Question 908382
{{{y+3=3(x-5)}}}, the given equation is in point-slope form.


The line perpendicular is some {{{y-6=(-1/3)(x-(-4))}}}, which is still in point-slope form.


Use basic algebra skills to transform into both slope-intercept form and into standard form.  Slope-intercept form will look like {{{y=mx+b}}}, and standard form will look like {{{Ax+By=C}}}.