write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-intercept form or using the given points in point-slope form

 5y = -2x + 31

Step-by-step explanation:

Given equation:

      y =

Coordinate  = (-7,9)

Unknown:

Equation of the line perpendicular  = ?

Solution:

The slope - intercept format of a line is given as;

      y = mx + c

where y and x are the coordinates

           m is the slope

           c is the y-intercept

y =

 From the given equation; slope is

A line perpendicular will have a slope that is negative and the inverse of this;

      slope of perpendicular line  =

Since y= 9 and x = -7;

  So;

            9 = + C

            9 = + C

           C  = 9 -   =

Now,

       y  =  x +  

mulitply through by 5;

     5y = -2x + 31

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step-by-step explanation: