Mathematics: Aline has a slope of 4. what is a line has a slope of 4. what is the slope of any line perpindicular to this line? the slope of any line perpindicular to this line?

Aline has a slope of 4. what is a line has a slope

miya763

11.03.2022

$\dfrac{-1}{4}$

Step-by-step explanation:

We know that the product of the slopes of two lines which are perpendicular to each other is -1.

Given : The slope of a line =

Let be the slope of the other line which is perpendicular to line having slope 4.

Then, we have

$4\times m=-1\\\\\Rightarrow\ m=\dfrac{-1}{4}$

Hence, the slope of any line perpendicular to line with slope 4 is $\dfrac{-1}{4}$

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