Asked by Kal Jay
Determine whether the statement is true or false.
The lines with equation ax+by+c1=0 and bx-ay+c2=0, where a ≠ 0 and b≠ 0, are perpendicular to each other.
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True. The slopes of the lines are m1 and m2 respectively; m1=b/a, m2=-a/b, so m1=-1/m2.
or
False. The slopes of the lines are m1 and m2 respectively; m1=-b/a, m2=-a/b, so m1=1/m2.
The lines with equation ax+by+c1=0 and bx-ay+c2=0, where a ≠ 0 and b≠ 0, are perpendicular to each other.
______________________________________________
True. The slopes of the lines are m1 and m2 respectively; m1=b/a, m2=-a/b, so m1=-1/m2.
or
False. The slopes of the lines are m1 and m2 respectively; m1=-b/a, m2=-a/b, so m1=1/m2.
Answers
Answered by
Steve
True.
m1 = -a/b
m2 = b/a
m1 = -a/b
m2 = b/a
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