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Answer:

  C  y = -5x +6

Step-by-step explanation:

It often works well to try the answer choices and see what works.

Using the first point, we find ...

  A y = -1/5(-2) +6 ≠ 16

  B y = 6(-2) -1/5 ≠ 16

  C y = -5(-2) +6 = 16 . . . . . this equation works

  D y = 6(-2) -5 ≠ 16

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You can also go to the trouble to determine the equation. The slope can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (11 -16)/(-1 -(-2)) = -5/1 = -5 . . . . . tells you C is correct

The y-intercept can be found from ...

  b = y -mx

  b = 16 -(-5)(-2) = 16 -10 = 6

Then the equation is ...

  y = mx + b

  y = -5x +6 . . . . . matches choice C

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