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Prove that the line x+2y-9=0 and 2x+4y+5...

Prove that the line `x+2y-9=0 and 2x+4y+5=0` are parallel.

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Let the slope of the given lines be `m_(1) and m_(2)` respectively.
`"Then", x+2y-9=0 Rightarrow 2y=-x+9`
`Rightarrow y=-(1)/(2)x+(9)/(2)`
`And, 2x+4y+5=0 Rightarrow 4y=-2x-5`
`Rightarrow y=-(1)/(2)x-(5)/(4)`
`therefore m_(1)=-(1)/(2) and m_(2)=-(1)/(2)`
Thus, `m_(1)=m_(2)`
Hence, the given lines are parallel.
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