Whhat line is parrellel to y=2x+5 (4,1)

y  = 2x - 7

Explanation:

Given equation:

  y  = 2x + 5,

 Coordinates given  = (4, 1)

Unknown:

Line parallel to this one  = ?

Solution:

The equation of any straight line is given as;

       y  = mx + c

x and y are the coordinates

m is the slope

c is the y-intercept

     A line parallel to the given one will have a slope that is the same with it.

  y  = 2x + 5, ;

  the slope here is 2;

So;

  y = mx + c; find c;

  1  = 2(4) + c

   c  = 1 - 8 = -7

The equation of the line is therefore;

      y  = 2x - 7