We are given slope of a line as [tex]\frac{2}{5}[/tex].
We need to compare the slopes of other lines.
Note: When slopes are same lines are parallel.
When slopes are negative reciprocal the lines would be perpendicular.
When neither same nor negative reciprocal, lines neither parallel nor perpendicular.
1) Line n has slope : [tex]\frac{5}{2}[/tex].
5/2 is just reciprocal of 2/5.
2) Line p has slope : [tex]\frac{-5}{2}[/tex].
-5/2 is negative reciprocal of 2/5.
3) Line q has slope : [tex]\frac{2}{5}[/tex].
2/5 is equal to 2/5.
Parallel: line p, with slope 2/5
Perpendicular: line n, with slope -5/2
neither: line m, with slope 5/2 and line q, with slope -2/5
Your welcome fellow k12 students!
