The slope of perpendicular lines are -recipricals. so if the slope of a line is 4, then the slope of it's perpendicular line is -1/4
Answer: [tex]\dfrac{-1}{4}[/tex]
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 = [tex]4[/tex]
Let [tex]m[/tex] be the slope of the other line which is perpendicular to line having slope 4.
Then, we have
[tex]4\times m=-1\\\\\Rightarrow\ m=\dfrac{-1}{4}[/tex]
Hence, the slope of any line perpendicular to line with slope 4 is [tex]\dfrac{-1}{4}[/tex]
