How do you identify equations as exponential growth, exponential decay, linear growth or linear decay #6x+5y=30#?

1 Answer
Gió
May 28, 2015

Your equation is a linear equation. The variable #x# is multiplied by a number only...no other operation is done on it.
You can check the "position" of #x# to decide if is:
1] a linear #(#number#)##xx##x#;
2] e exponential #(#number#)^(x)#;
Notice the difference in the "position" of #x#!!!
Have a look at this diagram:
enter image source here

In your case you have a linear [#(#number#)##xx##x# = #6x#] that can be written in #y=ax+b# form as:
#y=-6/5x+6#
So #a=-6/5<0# is a linear decay!

Hope it helps!

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