Question

Given a linear function in form f(x) = MX + b, you know that m = 1/3 and the input 6 is associated with the output –4. What is the value of b?

Answer 1

Answer: b=-6

Explanation:

Since we are already given a lot of information, we can directly plug them into the equation and solve for b.

`y=mx+b\\y=(1)/(3) x+b\\-4=(1)/(3)(6)+b\\ -4=2+b\\b=-6`

Therefore, we know that b=-6.