Question 1068684
2x+3y=-17
3y=-2x-17
y=(-2/3)x-17/3.  That slope is -2/3
The line perpendicular to that has a slope that is the negative reciprocal, or 3/2
point-slope y-y1=m(x-x1) m is slope and (x1,y1) is point.
y-5=(3/2)(x-2)
y-5=(3/2)x-3
y=(3/2)x+2
{{{graph(300,300,-10,10,-10,10,(-2x/3)-(17/3),(3x/2)+2)}}}