What is the rule for the function shown in the table?

Question

Input x	-2	-1	0	1	2
Output y	-8	-5	-2	1	4

y = 2x – 2

y = x – 6

y = 4x

y = 3x - 2

Answer 1

By taking any pair of x and y values it’s clear that the slope is 3 and y=3x-2 is the only linear equation with a slope of 3 (for example, (4-1)/(2-1)=3). Also, when x=0 the y intercept is -2, so the answer is the fourth option.