Fast : ( is the relationship shown by the data linear? if so, model the data with an equation. x y -7 5 -5 9 -3 13 -1 17 a) the relationship is not linear. b) the relationship is linear; y - 5 = -1/2(x + 7) c) the relationship is linear; y + 7 = 1/2(x - 5) d) the relationship is linear; y – 5 = 2(x + 7).

Write the equation of the line passing through the points (-7,5) and (-5,9):
.
You also have another two points (-3,13) and (-1,17). Look whether coordinates of these points satisfy the line equation:

1. For (-3,13) you have
 ;

2. For (-1,17) you have
 .

Conclusion: All four points lie on the line y-5=2(x+7), so the relationship shown by the data is linear.

Correct choice is D.