Question 1196272
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Find a linear function h, given h(9) = - 39 and h(- 1) = 11. Then find h(5).
h(x)=
(Type an expression using × as the variable. Simplify your answer.)
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<pre>
On the interval from -1 to 9, which has the length of 10, the function's change is  -39 - 11 = -50.


Hence, the function's slope is {{{-50/10}}} = -5.


So, the function is  

    h(x) - 11 = (-5)*(x - (-1)).


Simplify it step by step

    h(x) - 11 = (-5)*(x+1)

    h(x) = -5x - 5 + 11 = -5x + 6.      <<<---===   it is the answer to the first question.


Then  h(5) = -5*5 + 6 = -25 + 6 = -19.  <<<---===   it is the answer to the second question.
</pre>

Solved.