Find the equation of the line parallel to

Question

2y - 5 = 4x passing through (2,5)

Answer 1

The given line is 2y - 5 = 4x

 

                        2y = 4x + 5

 

                         y  = (4x + 5)/2 = 2x + 5/2

 

    The slope of the given line is M=2.

      Parallel lines have the same slope.

 

   The slope of the parallel line is also M=2. It passes through (2,5)

   So M=2, y=5, x=2

 

  5 = (2)(2) + B

 5 = 4 + B

  B = 1

 

 the parallel line equation is y = 2x + 1