Question

Line d has a slope of 7/3. line e is perpendicular to line d. what is the slope of line e?

Answer 1

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 :)