Question

Find the value of p, for which the lines 6x+5y-7=0 and 2px+5y+1=0 are parallel

Answer 1

WHEN LINES ARE PARALLEL THEIR SLOPES ARE EQUAL
m = m₁
so slope for line 6x +5y - 7 = m = -5/6
slope for line 2px +5y + 1 = m₁ = -5/2p

so m = m₁
⇒-5/6 = -5/2p
 ⇒p = 3 ANSWER

Answer 2

For a parallel line x2/X1= Y2/Y1
2px/6=5/5
p=3