Question 283091
parallel has the same slope m
perpendicular slope m/-1
1-slope = -a/b -5/-4=5/4
parallel 5/4
3,-2
y=5/4x+b
-2=5/4*3+b
-8/4-15/4=b
-23/4=b
y=5x/4-23/4
or
4y=5x-23

 perp -4/5
y=-4/5+b
-2=-4/5*3+b
-10/5+12/5=b
2/5=b
y=-4/5x+2/5
or
5y=-4x+2
or 
4x+5y=2

Now you get to try it on 
2.  Point = (-8, 3)   Line = 2x + 3y = 5
    a)parallel =  ?        b)perpendicular = ?
first get the slope -a/b a=2 b=3
NB this b is not the same as the b of y=mx+b
this b comes from ax+by+c=0