Find the equation of a line parallel to 4x−4y=2 that contains the point (0,0)

Question

Find the equation of a line parallel to 4x−4y=2 that contains the point (0,0)

Answer 1

x=y is the parallel line through the point (0,0)

slope of 4x-4y = 2 is the coefficient of the x term when the equation is solved for y

4y=4x -2

y =x -1/2, the coefficient of x is an implicit 1

y=(1)x or

y=x or x=y is the equation of the parallel line through the origin