Write a linear function f with f(−4)=2 and f(6)=−3.

Answer 1

I am not going to solve this for you but I will tell you how to do it.

The equation of a linear function has 2 parameters m and b: y=mx+b.

m(-4)+b=2

m(6)+b=-3

If you subtract, you will eliminate the b, leaving an equation in m.

Solve for m and then go back an plug into either equation to get b.

Answer 2

(2 - (-3))/(-4 - 6) = 5/-10 = -1/2

2 = (-1/2)(-4) + b

2 = 2 + b

b = 0

f(x) = (-1/2)x