If the straight lines 4x + 6y = 5 and 6x + ky = 3 are parallel, then the value of k is equal to

Question

If the straight lines $4 x + 6 y = 5$ and $6 x + k y = 3$ are parallel, then the value of $k$ is equal to

Smart Achievers · Accepted Answer

(3)

$Since, the given lines are parallel.$

$So, their slopes must be equal.$

$∴$ $\frac{- 4}{6} = \frac{- 6}{k}$ $\Rightarrow k = \frac{- 6 \times 6}{- 4}$ $\Rightarrow k = 9$

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