Write the linear function f that has the follow function values: f(3/4)=1/5 and f(1)=2

Answer 1

two points on the line are (3/4, 1/5) and (1,2)

the line through those two points has a slope of (2-1/5)/(1-3/4) = 9/5 over 1/4 = 9/5 times 4 = 36/5

Now use the point slope formula, and use either point to get

y-2 = (36/5)(x-1)

y = f(x) = 36x/5 -36/5+2 = 36x/5 -26/5

f(x) = (36x-26)/5