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Write the equation of the line that passes through the points (7,-4)and (−7,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

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sqdancefan

9514 1404 393

Answer:

  y +4 = -5/14(x -7)

Step-by-step explanation:

The slope can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-4))/(-7-7) = 5/-14 = -5/14

The point-slope form is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Filling in the given values, we have ...

  y +4 = -5/14(x -7)

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