If straight lines $y = 2 m x + c$ and $2 x - y + 5 = 0$ are parallel to each other, then find the value of m.

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Solution

Slope of $y = 2 m x + c$ is $2 m$
and Slope of $2 x - y + 5 = 0 \Rightarrow y = 2 x + 5$ is $2$

If they are parallel to each other then their slope must be equal
$\Rightarrow 2 m = 2 \Rightarrow m = 1$

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