A line passes through #(4 ,9 )# and #(6 ,1 )#. A second line passes through #(7 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?

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Answer 1 · 2017-03-03T18:17:31

#"it may be any point on the red line"#

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#"the parallel lines have the same slope"#

#m_r=(9-1)/(4-6)=8/-2=-4" ( the red line's slope)"#

#m_b=-4 " (the red line's slope)"#

#-4=(y-5)/(x-7)#

#-4x+28=y-5#

#4x+y=28+5#

#4x+y=33#

#"it may be any point on the red line"#

#"for example :"#

#"if x=6 then " 4*6+y=33#

#y=33-24=9#

#P(6,9)#