Write the equation of the line that passes through the origin and parallel to 2y-4x+4 = 0

First we will write the equation into the slope
for,.

==> y-y1 = m(x-x1) such that (x1,y1) is any
point passes through the line and m is the
slope.

==> Given that the line passes through the
origin, then the line passes through the point
(0,0)

==> y- 0 =
m(x-0)

==> y=
mx..........(1)

now let us determine the
slope.

We know that the line 2y-4x + 4 = 0 is parallel to
our line.

Let us rewrite into the slops
form.

==> 2y=
4x-4

==> y= 2x-2

Then
the slope m = 2.

==> Then the equation
of the line is written y= 2x  OR  it is written  y-2x =
0