Write the equation of the line passing through the points (-7,5) and (-5,9):
[tex]y-5= \dfrac{9-5}{-5-(-7)} (x-(-7)) \\ y-5= \dfrac{4}{2}(x+7) \\ y-5=2(x+7) [/tex].
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
[tex] 13-5=2(-3+7) \\ \{8=8\}[/tex];
2. For (-1,17) you have
[tex] 17-5=2(-1+7) \\ \{12=12\}[/tex].
Conclusion: All four points lie on the line y-5=2(x+7), so the relationship shown by the data is linear.
Answer: Correct choice is D.
