we know that
The formula to calculate the slope between two points is equal to
If two lines are parallel, then their slopes are equal
in this problem we have
the slope of the given line is
if ordered pairs could be points on a parallel line, then the ordered pairs must have a slope equal to
we are going to calculate the slope in each of the cases
<u>case A)</u>
substitute the values in the formula
--------> the ordered pair could be on a parallel line
<u>case B)</u>
substitute the values in the formula
--------> the ordered pair could not be in a parallel line
<u>case C)</u>
substitute the values in the formula
--------> the ordered pair could not be in a parallel line
<u>case D)</u>
substitute the values in the formula
--------> the ordered pair could be on a parallel line
<u>case E)</u>
substitute the values in the formula
--------> the ordered pair could not be in a parallel line
therefore
<u>the answer is</u>