The slope of the line parallel to 3x – by + 7 = 0 is 3 then b = ………………..
The slope of the line parallel to 3x – by + 7 = 0 is 3 then b = ………………..
A) 3
B) 4
C) 1
D) 5
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Correct option is (C) 1
Given line is 3x – by + 7 = 0
\(\Rightarrow by=3x+7\)
\(\Rightarrow y=\frac3bx+\frac7b\)
\(\therefore\) Slope of given line is \(\frac3b\)
\(\therefore\) Slope of line parallel to given line is \(\frac3b.\)
But given that the slope of line parallel to \(3x-by+7=0\) is 3.
\(\therefore\) \(\frac3b\) = 3
\(\Rightarrow b=\frac33=1\)
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