Write a linear function f with the given values.

Question

X. F(x)

1. -1

0. 1

-1. 3

Answer 1

y = -2x +1

F(x) = -2x +1

(0,1) is the y intercept = 1 = b

(-1, 3) and (0,1) have a line through them with slope = (3-1)/(-1-0) = 2/-1 - -2 = m

y=mx + b

m=-2, b=1

y=-2x + 1

y=F(x)

F(x) =-2x +1

check the answer with the other point (1,-1)

F(1) =-1 = -2(1)+1 = -2+1 =-1