Question

If the line given by 3x+2ky=2 and 2x+5y+15=0 are parallel then the value of k.​

Answer 1

Answer

In 2x+5y+1=0 for x=2, y=-1; for x=7, y=-3

Slope of the line=(-1+3)/(2–7)=-2/5

3x+2ky=3

Y=(-3/2k)x+3/2k

The lines are parallel so

@-2/5=-3/2k

Multiplying by -10k we get 4K =15; k=15/4

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Answer 2

Answer:

k = 3.75  $k \neq -1/3$

Step-by-step explanation:

For parallel lines,

a1\a2 = b1\b2 $\neq c1/c2$

3/2=2k/5

k = 15/4

k = 3.75

$2k/5 \neq 2/-15\\k \neq 5*2/2*-15\\k\neq -1/3$