What is the equation of the line with slope # m= -18/49 # that passes through # (3/7, 10/21) #?

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Answer 1 · 2016-04-17T19:37:10

#y=-18/49x+544/49#

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m=-18/49

#m=(y-10/21)/(x-3/7)#

#-18/49=((21y-210)/21)/((7x-21)/7)#

#-18/49=(21y-210)/cancel((21))*cancel((7))/(7x-21)#

#-18/49=(21y-210)/(3(7x-21))#

#-18/49=(21y-210)/(21x-63)#

#-18(21x-63)=49(21y-210)#

#-378x+1134=1029y-10290#

#1029y=-378x+1134+10290#

#1029y=-378x+11424#

#y=-378/1029x+11424/1029#

#y=-18/49x+544/49#