What is the equation of the line with slope # m= -40/49 # that passes through # (18/7, 34/21) #?

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Answer 1 · 2016-03-19T16:03:05

#840x+1029y=3826#

Equation of the line with slope #m=−40/49# that passes through #(18/7,34/21)# is given by point slope form and is

#(y-34/21)=-40/49(x-18/7)# or

#49(y-34/21)=-40(x-18/7)# or

#49y-cancel(49)7xx34/(cancel(21)3)=-40x+40xx18/7#

Multiplying both sides by #21#

#21xx49y-49xx34=-40xx21x+120xx18# or

#1029y-1666=-840x+2160# or

#840x+1029y=3826#