The slope of the line perpendicular to the line 2x + y + 4 = 0 is
The slope of the line perpendicular to the line 2x + y + 4 = 0 is
A) -2
B) 2
C) \(\cfrac{1}2\)
D)\(-\cfrac{1}2\)
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Correct option is (C) \(\frac{1}{2}\)
Given line is 2x + y + 4 = 0
\(\Rightarrow y=-2x-4\)
By comparing with y = mx+c, we obtain
\(m=-2\)
Hence, slope of the line 2x + y + 4 = 0 is m = -2.
\(\therefore\) Slope of line perpendicular to line 2x+y+4 = 0
\(=\frac{-1}{\text{slope of line 2x+y+4}}\)
\(=\frac{-1}{-2}=\frac12\)
Hence, the slope of the line perpendicular to the line 2x+y+4 = 0 is \(\frac{1}{2}.\)
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