Question

The lines represented by the equations +

the same line
O parallel
neither parallel nor perpendicular
+²1²x=4 and 3x+6y= 12 are
perpendicular

Answer 1

slope(m1)= -coeff.of x/coeff.of y

:.m1= -1/2

slope(m2)= -coeff.of x/coeff.of y

:.m2= -1/2

so it is parallel to each other......

Answer 2

on dividing both side of the second eqn by 6 you get

y+1/2x=2

so they are parallel to each other

[

keep in mind that:

any two equations are parallel if they have same coefficient for x and y but different constant values.

]