Respuesta :
The equation of the line that passes through (-5,9) and (8,-9) is y = -18/13x  + 27/13
When we are given two points then the formula for the equation of line or slope-intercept form is
             (y-y1) = m(x-x1)      (1)
       Where (x1,y1) are the coordinates of a point
              m = slope of the line
and the formula to find the slope is given as:
              m = (y2-y1)/(x2-x1)      (2)
In the given question we have been given the two coordinates which are:
    (x1,y1) = (-5,9)  and  (x2,y2) = (8,-9)
Thus we will put the required value of (x1,y1) and (x2,y2) in equation (2) to find the value of slope.
          m = (-9-9)/(8+5)
          m = -18/13
Now we will put the value of slope in equation (1) and find the required equation of line,
      (y-9) = -18/13(x+5)
      y-9 = -18/13x – 90/13
      y = -18/13x  + 27/13
Hence equation of the line is        y = -18/13x  + 27/13
Learn more about slope intercept form here : https://brainly.com/question/28308327
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