Question

if the lines y=3x+7 and 2y +px=3 perpendicular to each other find the value of p

Answer 1

Line 1: y=3x + 7

Its slope m1 = 3

Line 2: 2y+px = 3
2y =3-px
y= (-p/2)x +(3/2)

Its slope m2 = (-p/2)

For perpendicular lines, m1.m2 = -1
3(-p/2) = -1
p = (2/3)