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Las rectas [tex] m [/tex] y [tex] p [/tex] son paralelas. Si la pendiente de la recta [tex] m [/tex] es [tex]\frac{1}{25}[/tex], ¿cuál es la pendiente de la recta [tex] p [/tex]?

A. 25
B. [tex]-\frac{1}{25}[/tex]
C. -25
D. [tex]\frac{1}{25}[/tex]

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].

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