Step-by-step explanation:
Number 1
f(0) = -5
f(3) = -3
f(6) = -1
f(3) - f(0) = -3 - (-5)
3b = 2
b = 2/3
f(1) = f(x) - (x - 1)b
f(1) = -3 - (3 - 1)2/3
f(1) = -3 - (2)2/3
f(1) = -3 - 4/3
f(1) = -13/3
f(x) = f(1) + (x - 1)b
f(x) = -13/3 + (x - 1)2/3
f(x) = (-13 + 2x - 2)/3
f(x) = (-15 + 2x)/3 → function x
Number 2
#1Point = (4 , 3)
#2Point = (2 , -1)
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y - 3)/(-1 - 3) = (x - 4)/(2 - 4)
(y - 3)/-4 = (x - 4)/-2
-2(y - 3) = -4(x - 4)
-2y + 6 = -4x + 16
-2y = -4x + 10
y = -4x/-2 + 10/-2
y = 2x - 5 → Option = B
