Write the equation of the line that passes through the points (3,-6)(3,−6) and (-3,2)(−3,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

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  y +6 = -4/3(x -3)

Step-by-step explanation:

The slope of the line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -(-6))/(-3-3) = 8/-6 = -4/3

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

  y -k = m(x -h)

Using the first of the given points, the equation becomes ...

  y +6 = -4/3(x -3)