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Answer :
Sure! Let's go through the problem step-by-step.
You are given that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel, and you also know the slope of line [tex]\( m \)[/tex]. The key property of parallel lines in the context of slopes is that parallel lines have the same slope.
The slope of line [tex]\( m \)[/tex] is given as [tex]\(\frac{1}{25}\)[/tex].
Since lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel, they must have the same slope. Therefore, the slope of line [tex]\( p \)[/tex] will also be [tex]\(\frac{1}{25}\)[/tex].
So the slope of line [tex]\( p \)[/tex] is:
[tex]\[ \frac{1}{25} \][/tex]
From the provided options:
A. 25
B. -25
C. [tex]\(-\frac{1}{25}\)[/tex]
D. [tex]\(\frac{1}{25}\)[/tex]
The correct answer is:
[tex]\[ \boxed{\frac{1}{25}} \][/tex]
You are given that lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel, and you also know the slope of line [tex]\( m \)[/tex]. The key property of parallel lines in the context of slopes is that parallel lines have the same slope.
The slope of line [tex]\( m \)[/tex] is given as [tex]\(\frac{1}{25}\)[/tex].
Since lines [tex]\( m \)[/tex] and [tex]\( p \)[/tex] are parallel, they must have the same slope. Therefore, the slope of line [tex]\( p \)[/tex] will also be [tex]\(\frac{1}{25}\)[/tex].
So the slope of line [tex]\( p \)[/tex] is:
[tex]\[ \frac{1}{25} \][/tex]
From the provided options:
A. 25
B. -25
C. [tex]\(-\frac{1}{25}\)[/tex]
D. [tex]\(\frac{1}{25}\)[/tex]
The correct answer is:
[tex]\[ \boxed{\frac{1}{25}} \][/tex]
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