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Answer :
Sure, let’s solve the problem step-by-step.
First, the problem mentions that the lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel. When two lines are parallel, they have the same slope.
We are given that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
Since line [tex]\( p \)[/tex] is parallel to line [tex]\( m \)[/tex], the slope of line [tex]\( p \)[/tex] must be the same as the slope of line [tex]\( m\)[/tex]. Therefore, the slope of line [tex]\( p \)[/tex] is also [tex]\(\frac{1}{25}\)[/tex].
So, the correct answer is D. [tex]\(\frac{1}{25}\)[/tex].
First, the problem mentions that the lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel. When two lines are parallel, they have the same slope.
We are given that the slope of line [tex]\( m \)[/tex] is [tex]\(\frac{1}{25}\)[/tex].
Since line [tex]\( p \)[/tex] is parallel to line [tex]\( m \)[/tex], the slope of line [tex]\( p \)[/tex] must be the same as the slope of line [tex]\( m\)[/tex]. Therefore, the slope of line [tex]\( p \)[/tex] is also [tex]\(\frac{1}{25}\)[/tex].
So, the correct answer is D. [tex]\(\frac{1}{25}\)[/tex].
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