SOLUTION: Please help me solve this, I cant figure it out: --Create a linear function f(x) that meets the given conditons. f(2)=1,f(6)=9

Algebra ->  Linear-equations -> SOLUTION: Please help me solve this, I cant figure it out: --Create a linear function f(x) that meets the given conditons. f(2)=1,f(6)=9      Log On


   



Question 562801: Please help me solve this, I cant figure it out:
--Create a linear function f(x) that meets the given conditons.
f(2)=1,f(6)=9

Answer by issacodegard(60) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, from what's given we know two points that are to be on the graph of this linear equation (f(x)=mx+b), which is all we need to know. The points are (2,1) and (6,9). So the slope of the linear equation is
m=%281-9%29%2F%282-6%29=%28-8%29%2F%28-4%29=2
So the equation now looks like
f%28x%29=2x%2Bb
We know f(2)=1 so sub in x=2, f(x)=1 and find b
1=2%2A2%2Bb
b=-3
So the equation is
f%28x%29=2x-3