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

asked Nov 3, 2022 65.8k views

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4 votes

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)

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