Question

If the lines given by 3x + 2ky = 2 and 2x + 5y + 1=0 are parallel, then find the value of k​

Answer 1

Answer:

k = -4/15

Step-by-step explanation:

For Line 1;

3x + 2ky = 2

=> y = (2 - 3x)/2k

The gradient of this line (m1) = -3/2k

For line 2;

2x + 5y + 1 = 0

y = (-1-2x)/5

The gradient of the line here (m2) = -2/5

If we have two parallel lines, then the gradient of the first is the additive inverse of the second line

Mathematically, m1 = -m2

=> -3/2k = -(-2/5)

=> -3/2k = 2/5

Making 'k' the subject,

the value of k = -4/15

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Hope this helps??