Question

Two values of a linear function f(x) are f(4)=2 and f(-5)=-1. Find the equations of f(x).

Answer 1

this is another way of stating that the points (4,2) and (-5,-1) are on the line.

our slope is (-1-2)/(-5-4)=1/3
point slope form f(x)-2=(1/3)*(x-4)
f(x)=(1/3)x-4/3+2

f(x)=(1/3)x+2/3