Identify an equation in slope intercept form for the line parallel to y= -2/3x+8 that passes through (4, -5)

3y = -2x -7

Step-by-step explanation:

The equation of the line;

     y = x + 8

Unknown:

Equation of the line passing through (4, -5);

Solution:

To solve this problem;

    the equation of a line is given as;

        y = mx + c

where x and y are the coordinate

           m is the slope

          c is the intercept

To solve this problem,

  The slope   if the same as that of the new line since they are parallel;

Equation of the new line;

    x  = 4 and y = -5

     -5 =   x 4 + c

      -5 = + c

       c  = -5 +

       c =

So, the equation of the line is;

    y =  x -

 or ;

     3y = -2x -7

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step-by-step explanation:

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