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The slope of a line is 1/2. What is the slope of a line that is perpendicular to this line? Type a numerical answer in the space provided. Do not include spaces in your answer. If necessary, use the / key to represent a fraction bar and only type improper fractions (no mixed numbers)

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texaschic101
perpendicular lines have negative reciprocal slopes. So if 1 slope has a slope of 1/2, then its perpendicular line has a slope of -2/1 or just -2
JeanaShupp

Answer: -2

Step-by-step explanation:

Given : The slope of a line is [tex]\dfrac{1}{2}[/tex].

We know that the product of two perpendicular lines is -1.

Let m be the slope of  line that is perpendicular to given line.

Then,we have :-

[tex]m\times\dfrac{1}{2}=-1\\\\\Rightarrow\ m=-2[/tex]

Hence, the slope of a line that is perpendicular to this line =-2

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