Answer:
f(x) = - x
Step-by-step explanation:
The standard form for a linear function is
f(x) = ax + b
Using the given values f(- 4) = 2 and f(6) = 3 , then
- 4a + b = 2 → (1)
6a + b = - 3 → (2)
Subtract (2) from (1) term by term to eliminate b
- 10a = 5 ( divide both sides by - 10 )
a = -
Substitute a = - into either of the 2 equations and solve for b
Substituting into (1)
2 + b = 2 ( subtract 2 from both sides )
b = 0
Thus the linear function is
f(x) = - x