Option B: [tex]\frac{1}{25}[/tex]
Solution:
Slope of the perpendicular lines:
If two lines are perpendicular then their slopes are negative reciprocals of each other.
[tex]$m_1=\frac{-1}{ m_2}[/tex]
Slope of the parallel lines:
If two lines are parallel then they have the same slope.
i.e their slopes are equal.
[tex]m_1=m_2[/tex]
Given line m and p are parallel.
Slope of the line m = [tex]\frac{1}{25}[/tex]
Using slope of the parallel lines definition,
Slope of the line p = slope of the line m
Slope of the line p = [tex]\frac{1}{25}[/tex]
Option B is the correct aswer.
Hence the slope of the of line p is [tex]\frac{1}{25}[/tex].
