SOLUTION: 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.)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: 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.)      Log On


   

Question 1196272: 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.)
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
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.)
~~~~~~~~~~~~~~ 


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%2F10 = -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.

Solved.



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Two known points , ordered pair, in the plane; you can form the equation for the line.