Question

if the lines 3x+2k-2=0 and 2x+5+1=0 are parallel. then what is the value of k​

Answer 1

Answer:

As the lines of the equation are parallel,

3/2k=2/5

=>4k=15

=>k=15/4

Answer 2

Answer:

For the lines to be parallel, the slopes of

the lines must be equal.

Lines:

3x + 2ky - 2 = 0 … (1)

2x + 5y + 1 = 0 … (2)

Now, convert 1 and 2 into y = mx + c form

where m is the slope.

for equation 1,

y = (-3/2k)x + (1/k)

for equation 2,

y = (-2/5)x - (1/5)

So now for both lines to be parallel, (-3/2k) must be equal to (-2/5)

Solving for k, we get, k = 15/4