74.3k views
11 votes
Line d has a slope of 7/3. line e is perpendicular to line d. what is the slope of line e?

User Melix
by
4.1k points

1 Answer

1 vote

hello!

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, flop it over, and change its sign.

Here we have the number:-


\boxed{(7)/(3)}

Flop it over:-


\boxed{(3)/(7) }\longleftarrow\sf{the~numerator~and~denominator~switch~places}

Change its sign:-


\boxed{-(3)/(7)}

Hence, the slope of line e is:-


\bigstar{\boxed{\pmb{Slope=-(3)/(7)}}}

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

User Thruston
by
4.2k points