Question

f(x) is a linear function. f(0) = 7 and f(3) = 5. Find the equation for f(x).

Answer 1

Let us calculate the slope of the line. We get two points (0,7) and (3,5)

$m=\frac{7-5}{0-3}=-\frac{2}{3}$

given the slope we have that

$f(x)=-\frac{2}{3}x+7$

so the function is:

$f(x)=-\frac{2}{3}x+7$