Question

F(x)=ax+b f(-5)=-12 f(1)=12

Answer 1

F(x) = ax+b
f(-5) = a(-5) + b = -12
          -5a+b = -12
f(1) = a(1)+b = 12
         a+b = 12
-5a+b = -12
a+b = 12
----------------- -
-6a = -24
a = 4

a+b = 12
4+b =12
b = 12-4
b = 8

Answer 2

F(-5) = -5a + b = -12
f (1) = a + b = 12
------------------- -
-6a = -24
a = 4
a + b = 12
4 + b = 12
b = 8
f(x) = 4x + 8