write the linear equation from the given information in slope intercept form passing through (-2,8) and perpendicular to y=2x+5

y  =   x + 9

Step-by-step explanation:

Given parameters:

  Coordinates = (-2,8)

Equation of the line  y  = 2x + 5;

Unknown:

Linear equation of a line perpendicular = ?

Solution:

From the given expression, a line perpendicular will have a negative inverse of the slope given.

           y  = 2x + 5

Equation of a line  is y = mx + c;

y and x are the coordinates

  m is the slope

   c is the intercepts

    y  = 2x + 5 ;

 The slope is 2;

  A line perpendicular will have a slope of  

 Since y = 8 and x  = -2, let us find c;

     8  = 2 x  + c

    8 = -1 + c

     c  = 8+1 = 9

The equation of the line is;

       y  =   x + 9