SOLUTION: how do you solve this equation if its asking for the linear function. * f(x), where f(4)=1 and f(1)=4

Algebra ->  Linear-equations -> SOLUTION: how do you solve this equation if its asking for the linear function. * f(x), where f(4)=1 and f(1)=4      Log On


   



Question 345696: how do you solve this equation if its asking for the linear function.
* f(x), where f(4)=1 and f(1)=4

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
Using point-slope form of line
%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29+=+m
Questions states the following points
(4,1)& (1,4)
.
%281+-+4%29%2F%284+-1%29=+m
.
-1+=+m
.
using slope-intercept form
y = mx + b where be in the y-intecept
.
substituting (4,1) values for ex.
1 = -1(4) + b
b = 5
.
f(x) = -x + 5
.
Check your answer:
f(1) = 4 and f(4) = 1