How do you graph #x-4y>=-8#?

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Answer 1 · 2016-07-16T10:34:41

See the explanation

#color(brown)("Making the "y" term positive")#

Multiply by (-1)

#-x+4y<=-8" "larr" notice that the ">=" is now "<=#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(brown)("Isolate the "y" term")#

Add #x# to both sides

#-x+x+4y<=-8+x#

#4y<=x-8#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(brown)("Isolate the "y)#

Divide both sides by 4

#4/4xx y<=x/4-8/4#

#y<=x/4-2#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(brown)("Now plot your graph the normal way")#

At #y=0 -> x=8#
At #x=0-> y=-2#
Tony B