SOLUTION: The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line? a) -3/2 b) -2/3 c) 2/3 d) 3/2

Algebra ->  Linear-equations -> SOLUTION: The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line? a) -3/2 b) -2/3 c) 2/3 d) 3/2      Log On


   

Question 601412: The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line?
a) -3/2
b) -2/3
c) 2/3
d) 3/2
Found 2 solutions by josmiceli, nerdybill:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a) -3/2
If you have a line with slope +m+=+2%2F3+,
any line perpendicular to this one
will have slope +-%281%2Fm%29+=+-%281%2F%28%282%2F3%29%29%29+
+-%281%2F%28%282%2F3%29%29%29+=+-%283%2F2%29+

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line?
a) -3/2
b) -2/3
c) 2/3
d) 3/2
.
Lines are perpendicular if their slopes are "negative reciprocal".
That is, if we multiply the two slopes together the result is -1
.
Answer is a) -3/2
because
(-3/2)(2/3) = -1