Given a line with a slope of - 1/5 what is the slope of any line that lies perpendicular to it?

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

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.

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