we know that
if two lines are perpendicular
then the product of their slopes is equal to minus one
so
in this problem we have
the value of m2 must be equal to
we know that
The formula to calculate the slope between two points is equal to
<u>Find the slopes of each of ordered pairs and compare with m2</u>
<u>case a) </u>
Substitute in the formula
The slope is equal to m2
so
The ordered pair case a) could be points on a line that is perpendicular to the given line
<u>case b) </u>
Substitute in the formula
The slope is not equal to m2
so
The ordered pair case b) could not be points on a line that is perpendicular to the given line
<u>case c) </u>
Substitute in the formula
The slope is not equal to m2
so
The ordered pair case c) could not be points on a line that is perpendicular to the given line
<u>case d) </u>
Substitute in the formula
The slope is not equal to m2
so
The ordered pair case d) could not be points on a line that is perpendicular to the given line
<u>case e) </u>
Substitute in the formula
The slope is equal to m2
so
The ordered pair case e) could be points on a line that is perpendicular to the given line
therefore
<u>the answer is</u>