SOLUTION: 1. f(0)=-1,f(3)=-10 2. f(-4)=-5,f(2)=2 3. F(-4)=-2,f(2)=7

Algebra ->  Functions -> SOLUTION: 1. f(0)=-1,f(3)=-10 2. f(-4)=-5,f(2)=2 3. F(-4)=-2,f(2)=7      Log On


   

Question 250901: 1.
f(0)=-1,f(3)=-10
2.
f(-4)=-5,f(2)=2
3.
F(-4)=-2,f(2)=7
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you want to find a linear equation for the given set of coordinates.
1.f(0)=-1,f(3)=-10
the coordinates are: (0,-1) and (3,-10)
the slope = -9/3 = -3.
Y+=+mX+%2B+b
-1+=+-3%280%29+%2B+b
-1+=+b
equation is: Y+=+-3X+%2B+0
-----
2.f(-4)=-5,f(2)=2
the coordinates are: (-4,-5) and (2,2)
the slope = 7/6.
Y+=+mX+%2B+b
-5+=+%287%2F6%29%2A%28-4%29+%2B+b
-1%2F3+=+b
equation is: Y+=+%287%2F6%29X+-+%281%2F3%29
-----
3.f(-4)=-2,f(2)=7
the coordinates are: (-4,-2) and (2,7)
the slope = 9/6 = 3/2.
Y+=+mX+%2B+b
-2+=+%283%2F2%29%28-4%29+%2B+b
4+=+b
equation is: Y+=+%283%2F2%29X+%2B+4