Answer:
f(x) = - 4x + 5
Explanation:
Linear function of the form
f(x) = ax + b
substitute f(0) = 5 and f(2) = - 3 to find a and b
f(0) = a(0) + b = 5 , then b = 5 , so
f(x) = ax + 5
f(2) = 2a + 5 = - 3
2a + 5 = - 3 ( subtract 5 from both sides )
2a = - 8 ( divide both sides by 2 )
a = - 4
f(x) = - 4x + 5 ← equation of linear function