All lines that have the same slope are parallel to each other. To determine which lines are parallel to the give equation, you must first have to determine the slope of the equation.
Notice that your equation is written in y = mx + b form, where m represents slope. In this case, m = 2. Any equation with a slope of 2 is parallel to your given line. For examples of lines that would be parallel, the following are all parallel:
y = 2x
y = 2x + 1
y = 2x + 2
y = 2x + 100
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Yes, they're parallel lines. Both slopes are 2.
[ y = 2x + 5 ] has a slope of 2. [ y = 2 ] is a horizontal line ... its slope is zero. Their slopes are different, so they're not parallel.
y = 2x+10 Just change the y intercept.
[ y = -2x + any other number ] is parallel to [ y = -2x + 6 ].
If the second equation is: y minus 2x equals 3, then:y - 2x = 3 ⇒ y = 2x + 3 and it is parallel to y = 2x.Otherwise (with with missing operator as "plus", "multiply" or "divide"), the lines are neither parallel nor perpendicular.