Respuesta :

9514 1404 393

Answer:

  y -1 = -1(x -2)

Step-by-step explanation:

The slope of the line through the two points can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5 -1)/(-2 -2) = 4/-4 = -1

The point-slope equation for a line through point (h, k) with slope m is ...

  y -k = m(x -h)

You have (h, k) = (2, 1) and m = -1. Putting these values into the form gives ...

  y -1 = -1(x -2)

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Additional comment

Your problem statement already has two of the three values filled in, so you only need to enter the x-coordinate of the first point: 2.