Are the lines perpendicular on the given slopes of two lines below? (a) #m_1=2, m_2=1/2# (b) #m_1=-1/2, m_2=2# (c) #m_1=4, m_2=-1/4# (d) #m_1=-2/3, m_2=3/2# (e) #m_1=3/4, m_2=4/3#

1 Answer
1s2s2p
Mar 21, 2018

#b#, #c# and #d#

Explanation:

For two lines to be perpendicular, #m_1m_2=-1#

a. #2xx1/2=1!=-1#, not perpendicular

b. #-1/2xx2=-1#, perpendicular

c. #4xx-1/4=-1#, perpendicular

d. #-2/3xx3/2=-1#, perpendicular

e. #3/4xx4/3=1!=-1#, not perpendicular

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