SOLUTION: Find a linear function h given h(-3)=3 and h(0)=2. Then find h(-6). Show all work.

Algebra ->  Functions -> SOLUTION: Find a linear function h given h(-3)=3 and h(0)=2. Then find h(-6). Show all work.      Log On


   

Question 1097183: Find a linear function h given h(-3)=3 and h(0)=2. Then find h(-6). Show all work.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
h%28x%29=ax%2Bb
So then,
h%28-3%29=a%28-3%29%2Bb=3
1.-3a%2Bb=3
and
h%280%29=a%280%29%2Bb=2
2.b=2
Substituting into eq. 1,
-3a%2B2=3
-3a=1
a=-1%2F3
So,
h%28x%29=-x%2F3%2B2
When x=-6,
h%28-6%29=-%28-6%29%2F3%2B2=2%2B2=4
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