How do you graph #y=-3-5/9|x+4|#?

1 Answer
Mar 28, 2017

Answer:

#y=-5/9x-47/9# or #y=5/9x-7/9#

Explanation:

#y=-3-5/9|x+4|#

Add #color(red)(3)# on both sides,

#y+color(red)(3)=-5/9|x+4|#

Multiply both sides by #color(red)(-1)#

#color(red)(-)ycolor(red)-3=5/9|x+4|#

Open up the modulus,

#color(red)(+-)(-y-3)=5/9(x+4)#

Hence,

#-y-3=5/9x+20/9#
#-y=5/9x+47/9#
#y=-5/9x-47/9#
graph{y=-5/9x-47/9 [-10, 10, -5, 5]}

OR

#y+3=5/9x+20/9#
#y=5/9x-7/9#
graph{y=5/9x-7/9 [-10, 10, -5, 5]}