Answer:
5
Step-by-step explanation:
Slope of given line : -1/5
we will use the concept of relation between two perpendicular lines.
If two lines are perpendicular then the product of their slope is equal to -1.
Mathematically, if slope of two lines are m1 and m2 and they are perpendicular
Then
m1*m2 = -1
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Let the slope of other line be m.
Given that the other other line perpendicular to line with slope -1/5.
Then product of -1/5 and m will be equal to 1.
writing it Mathematically, we have
m*-1/5 = -1
=>-m = -1*5
=>m = 5
Thus, slope of any line perpendicular to line with slope -1/5 is 5.