Any equation with the form y=c is parallel to the y-axis, where c is a constant.
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If you mean: y = 2x-4 then the parallel line will have the same slope of 2 but with a different y intercept
When a straight line equation is parallel to another equation the slope remains the same but the y intercept changes
Without an equality sign it is not an equation but when a straight line equation is parallel to another straight line the slope remains the same but the y intercept is different
When the equation represents a horizontal line.