Consider the line #x- 8y =2#. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?

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Answer 1 · 2016-12-30T07:21:08

Slope of line perpendicular to #y# is #-8#
Slope of line parallel to #y# is #1/8#

#x-8y=2 -> y=x/8-1/4#

The slope of a straight line in slope #(m)# and intercept #(c)# form is:
#y=mx+c#

#:.# In this example, the slope of the line #y# is: #1/8#

If two lines of slopes #m_1# and #m_2# are perpendicular to eachother, then: #m_1 xx m_2 = -1#

Hence the slope #(m_2)# of the line perpendicular to #y# will have a slope of: #-1/(1/8) = -8#

Any line parallel to #y# will have the same slope #(m_1)# as #y#

Hence, a line parallel to #y# has a slope of #1/8#