If f(x) is a linear function such that f(4) = 3, with a slope of 1/2, what is the equation of f(x)?

Answer 1

A linear function follows the form f(x) = mx + b, where m is the slope and b the y-intercept.

We are given the point (4, 3) and that m = .5, so we can solve for b.

f(4) = 3 = .5(4) + b
So b = 1. The function is therefore f(x) = .5x + 1

Answer 2

f (×) = 4× +3