Question

write the linear function that has the indicated function values f(2)=6 and f(5)=-6

Answer 1

Let the linear function be:


f(x) = a*x + b

So:

f(2) = 2a + b

2a + b = 6 ----------- 1

f(x) = a*x + b

f(5) = 5a + b

So: 5a + b = -6 ------- 2

Subtract both the equations:

2a - 5a = 6 + 6

-3a = 12

So a = -4



Now put it in any of the equation and find b...