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Mathematics 4 Online
OpenStudy (anonymous):

Two lines are perpendicular, and one of the lines has a slope of 4/5. Find the slope of the other line.

OpenStudy (anonymous):

tehir product is -1

OpenStudy (anonymous):

The definiton of perpenicular lines are that the slopes of the lines make a right angle with each other, and that they also have negative reciprocal slopes

OpenStudy (anonymous):

so slope of the other line is negative reciprocal of the first one if they areperpendicular

OpenStudy (anonymous):

That is to say that is one has a slope of \[\Large m\] The perpendicular line is \[\Large {-1 \over m} \]

OpenStudy (anonymous):

so neagtive reciprocal of 4/5 is -5/4

OpenStudy (anonymous):

so its -5/4

OpenStudy (anonymous):

what about this?

OpenStudy (anonymous):

If two lines are parallel and one line has a slope of -4/5, find the slope of the other line.

OpenStudy (anonymous):

4/5

OpenStudy (anonymous):

?

OpenStudy (anonymous):

-4/5

OpenStudy (anonymous):

parallel lines have same slopes

OpenStudy (anonymous):

so its -4/5 for the second one

OpenStudy (anonymous):

perpendicular lines' slopes are opposite reciprocals. so if the slope is 4/5 then the slope of the line perpendicular to it would be -5/4

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