Question

If the lines given by 2x+5y=0 and 3x+2my=2 are parallel the find m

Answer 1

Sibce lines are parallel slopes are equal

Answer 2

Answer: 15/4

Step-by-step explanation:

given two line  2x+5y = 0  and 3x + 2my = 2

writing in standard form we get

y = -2x/5  and y = -(3/2m)x +2/2m  

now slopes are  m_1 = -2/5  and m_2 = -3/2m

when lines are parallel their slopes will be equal

⇒  -2/5 = =3/2m

⇒ m = 15/4    Ans.