Answer:
f(x) = -²/₅ x - ¹⁷/₅
Step-by-step explanation:
The equation of the linear function: f(x) = mx + b
f(-1) = -3 ⇒ -3 = m(-1) + b ⇒ m = b + 3
f(4)=-5 ⇒ -5 = m×4 + b
-5 = 4(b+3) + b
-5 = 4b + 12 + b
5b = -5 - 12
b = -¹⁷/₅
m = -¹⁷/₅ + 3 = -¹⁷/₅ + ¹⁵/₅ = -²/₅
Therefore the function:
f(x) = -²/₅ x - ¹⁷/₅