Write a linear function f with f(−9)=10 and f(−1)=−2

Answer 1

Given coordinates: (-9,10) (-1,-2)

let's find the slope

m = (y1-y2)/(x1-x2)

m = [10-(-2)]/[-9-(-1)]=-3/2

y=mx+b

y=(-3/2)x+b as we know the value of the slope m

-2=(-3/2)(-1)+b plug in one of the coordinate (does not matter which one)

b=-7/2

y=(-3/2)x -7/2