Question

F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b

Answer 1

Answer:
`m=(-1)/(3), b=(7)/(3)`

Explanation:

Given

Function is
`f(x)=mx+b`

`f(-2)=3`

`\therefore 3=m(-2)+b\\\Rightarrow b-2m=3\quad \ldots(i)`

`f(4)=1\\\therefore 1=4m+b\quad \ldots(ii)`

from (i) and (ii) we get

`m=(-1)/(3), b=(7)/(3)`