Question

let f be a linear function where f(2)=-5 and f(-3)=1. state the function f(x)

Answer 1

\[f(x)=ax+b\]

\[f(2)=2a+b=-5\]
\[f(-3)=-3a+b=1\]

solve this system of two equations and two unknowns

Answer 2

or

you have the points

(2,-5) and (-3,1)

find the slope and then the equation is

\[y-y_1=m(x-x_1)\]