Question

The pair of lines represented by the equations 2x+y+3 = 0 and 4x+ky+6 = 0 will be parallel if value of k is ______.

Answer 1

The pair of lines represented by the equations 2x+y+3 = 0 and 4x+ky+6 = 0 will be parallel if value of k is 2

Step-by-step explanation:

two lines are parallel if slope of the lines are same

2x+y+3 = 0 and 4x+ky+6 = 0

2x+y+3 = 0

=> y = -2x - 3

=> slope = -2

4x+ky+6 = 0

=> ky = - 4x - 6

=> y = -4x/k - 6/k

slope = - 4/k

equating slope

-2 = -4/k

=> k = 2

K = 2 will give parallel lines

putting k = 2

y = -2x - 3

Hence k =2  gives the same line of Equation.

Hence both lines are the same.

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Answer 2

answer:

k = 2  

The pair of lines represented by the equations 2x+y+3 = 0 and 4x+ky+6 = 0 will be parallel if value of k is