Answer:
f(x) = (1/2)*x + 6
Explanation:
We have the following equation:
y - 8 = (1/2)*(x - 4)
Applying distributive property:
y - 8 = (1/2)*x - (1/2)*4
y - 8 = (1/2)*x - 2
Isolating y:
y = (1/2)*x - 2 + 8
y = (1/2)*x + 6
When we talk about functions, y and f(x) refers to the same. So, we can rewrite the last equations as:
f(x) = (1/2)*x + 6