Determine the equation of the lines perpendicular to the given lines and passing through the given points:(a)y-5x+3=0;(3,2) (b) y=8-7x;(-3,-4)

a)

y = 1 x - 3
slope = m = 1
slope of perpendicular = -1/m = -1/1 = -1

so
y = -x + b
2 = -3 + b
b = 5
so
y = -x + 5
do the other the same way