Question

find the constants m and b in the linear function f(x)=mx+b such that f(0)=2 and f(3)=-1

Answer 1

f(0)=0m+b=2
b=2

f(3)=m(3)+2=-1
3m=-3
m=-1

Answer 2

Thank you! Been years since I have taken a math class. Wasn't sure how to set it up. I appreciate it.

Answer 3

Write out the unknown function: f(x)=mx+b.
Now substitute x=0 (as smored has already done). Result: f(0)=0+b. We are told that f(0)=2. Therefore, as smored has demonstrated, f(0)=2=0+b, so b=2.

Answer 4

no prob!