How do you find the slope of #y=-3-5/9|x+4|#?

1 Answer
Alan P.
Sep 8, 2017

Slope #={(-5/9,"for",x >= -4),(+5/9,"for",x < -4):}#

Explanation:

For #x >= -4#
#color(white)("XXX")y=-3-5/9abs(x+4)# is equivalent to #y=-5/9x + "some constant amount"#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

For #x < -4#
#color(white)("XXX")y=-3-5/9abs(x+4)# is equivalent to #y=5/9x+"some other constant"#
#color(white)("XXX")rarr "slope"=+5/9#

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