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Write the equation of the line that passes through the points (9, -4) and (2, -2).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.



Answer :

sqdancefan

Answer:

  y +2 = -2/7(x -2)

Step-by-step explanation:

You want the point-slope equation of the line through (9, -4) and (2, -2).

Slope

The slope is given by ...

  m = (y2 -y1)/(x2 -x1)

  m = (-2 -(-4))/(2 -9) = 2/-7 = -2/7

Point-slope equation

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

  y -k = m(x -h)

Using the second point with the found slope, the equation is ...

  y +2 = -2/7(x -2)

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