What is the slope of #9y=-18y+45x+3#?

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Answer 1 · 2016-04-22T13:21:34

#color(blue)(=>" slope "->m=45/27)#

Given:#" "9y=-18y+45+3#

Convert into standard for # y=mx+c#

Add #color(blue)(18y)# to both sides

#color(brown)(9ycolor(blue)(+18y)=-18ycolor(blue)(+18y)+45x+3)#

#27y=0+45x+3#

Divide both sides by #color(blue)(27)# giving:

#color(brown)(27/(color(blue)(27) )y=+45/(color(blue)(27))x+3/(color(blue)(27))#

But #27/27=1#

#y=45/27x+1/9#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Compare this to #y=mx+c# where #m# is the gradient (slope)

#color(blue)(=>" slope "->m=45/27)#