Equation of the line is given in the form
y =mx + b
Where
m is the slope
b is the y-intercept
The slope of this line is 1/2.
We know,
parallel lines have equal slope.
Thus, the new line will be of the form:
[tex]y=\frac{1}{2}x+b[/tex]
Checking the equations,
first one would have 2 as slope
second one would have -2 as slope
Re-arranging the 3rd option:
[tex]\begin{gathered} x-2y=2 \\ 2y=x-2 \\ y=\frac{x-2}{2} \\ y=\frac{1}{2}x-1 \end{gathered}[/tex]
This has the same form we are looking for. Thus,
Correct Answer is
[tex]x-2y=2[/tex]
