Answer:
The answer is: f(x) = 4/3x + 7/3
Step-by-step explanation:
Start with the point slope form of the equation:
y - y1 = m(x - x1)
y - 5 = 4/3(x - 2)
y - 5 = 4/3x - 8/3
y = 4/3x - 8/3 + 5
y = 4/3x - 8/3 + 15/3
y = 4/3x + 7/3
Replace y with f(x):
f(x) = 4/3x + 7/3
proof:
f(2) = 4/3 * 2 + 7/3
= 8/3 + 7/3 = 15/3 = 5
