This is how you do it: (in the picture)
Barney has 16 1/5 yards of fabric. To make an elf costume, he needs 5 2/5 yards of fabric. How many costumes can Barney make?
2 answers:
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For this case we find the slopes of each of the lines:
The g line passes through the following points:
So, the slope is:
Line h passes through the following points:
So, the slope is:
By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.
It is observed that lines g and h are not parallel. We verify if they are perpendicular:
Thus, the lines are perpendicular.
Answer:
The lines are perpendicular.