Question

PLEASE HELP FAST :(

Answer 1

Write the equation of the line passing through the points (-7,5) and (-5,9):
$y-5= \dfrac{9-5}{-5-(-7)} (x-(-7)) \\ y-5= \dfrac{4}{2}(x+7) \\ y-5=2(x+7)$.
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
 $13-5=2(-3+7) \\ \{8=8\}$;

2. For (-1,17) you have
 $17-5=2(-1+7) \\ \{12=12\}$.

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.