Question

2. Show that the straight lines x+2y+1 = 0 and 3x+6y+2= 0 are parallel

Answer 1

HELLO DEAR,

WE KNOW THAT:-

condition for $\underline{no\:\: solution\:\: or \:\: parallel}$ is $a_1/a_2 = b_1/b_2 \neq c_1/c_2$

Where,

$a_1 = 1 , b_1 = 2 ,c_1 = -1 AND, a_2 = 3 ,b_2 = 6 , c_2 = -2$

$1/3 = 2/6 \neq -1/-2\\ \\ 1/3 = 1/3 \neq 1/2$


HENCE, the straight line is parallel



I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Solution:-

given by:- two straigt line lines x+2y+1 = 0 and 3x+6y+2= 0

now we have :-  
we know that :-

》If two lines are parallel then slopes of those lines are equal.

》      m(1) = m(2)

Slope of the first line ( x + 2 y + 1 = 0)

》  Slope (m) = - coefficient of x/coefficient of y

》         m(1)  = -1/2

Slope of the second line( 3x + 6y + 2 = 0)

》      m(2) = -3/6

》          = -1/2


》herw m(1) = m(2)

 both slopes are equal.They are parallel


☆ i hope its help☆