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.Com
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(52787)   (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  = -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)   (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.
RELATED QUESTIONS

Find a linear function h, given h(5)= -21 and h(-4)= 24. Then find... (answered by nerdybill)
given the function h described by h(x)= 9(x) find the following: h(-12)= h(5)=... (answered by stanbon)
Find a linear function h given h(-3)=3 and h(0)=2. Then find h(-6). Show all... (answered by Fombitz)
Find a linear function h such that h(-1)=-5 and h(7)=-6. What is... (answered by Edwin McCravy)
given the function of h described by h(x)=x+9, find each of the following: h(0) h(-18) (answered by richard1234)
Find a linear function h given ​h(−1​) =−6 and ​h(−4​)=−8. The linear... (answered by josgarithmetic)
linear functions given h(4)=-10 and h(-1)=10 then find h(3) (answered by greenestamps)
find a linear function h given h(-2) = -4 and h(-8) =... (answered by nyc_function)
find a linear function,h, given h(-6)=32 and... (answered by swincher4391,robertb)