I'm assuming that you mean the line that shows the discount amount:
Discounts Free Domain Registration ( Starter Package )... -$0.00
is always showing?
for this you would add an if statement:
<?php if ($yourCart->GetDiscounts() > 0) { ?>
Discounts Free Domain Registration ( Starter Package )... -$0.00
<?php } ?>
where yourCart is the name of your eCart object.