Respuesta :

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Answer:

  (c)  y = 3x +2

Step-by-step explanation:

The second given point is the y-intercept, telling you that the 'b' in the equation y = mx +b is 2. This eliminates the first and last choices.

Trying the other point in the two remaining equations shows you which one works:

  (b)  y = -3x +2

     -1 = -3(-1) +2 . . . . not true

  (c)  y = 3x +2

     -1 = 3(-1) +2 . . . . true

The equation of the line through the two points is ...

  y = 3x +2

_____

Additional comment

If you plot the two points, you see the line connecting them must have a positive slope. Only the third choice has a positive slope and a y-intercept of 2.

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