Question

What rule changes the input numbers to output numbers?

input output
1 -6
2 -4
3 -2
4 0


a. 2x-10
b. 2x-8
c. 3x-9
d. 3x-6

Answer 1

y - (-6) = (-4 - (-6))/(2 - 1) (x - 1)
y + 6 = (-4 + 6)(x - 1)
y + 6 = 2(x - 1) = 2x - 2
y = 2x - 2 - 6 = 2x - 8
y = 2x - 8.

option b is the correct answer.