Question #b8968
2 Answers
Explanation:
#"given a line with slope m then the slope of a line"#
#"perpendicular to it is"#
#•color(white)(x)m_(color(red)"perpendicular")=-1/m#
The slope of the lines must be negative reciprocals of each other.
Explanation:
Basically, if you have the slope of a straight line, and you need to find the slope of a line perpendicular to it, you need to flip the number, and make it negative. For example, if you have a line
All I've done is flip the coefficient of x(the slope) and add the negative sign to it. (also, I've written the y-intercept as
Here's a link that explains the concept and has some examples: http://www.purplemath.com/modules/slope3.htm
(here's the proof for it if you're interested: https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-parallel-perpendicular-eq/v/proof-that-perpendicular-lines-have-negative-reciprocal-slope -don't let this confuse you though, all you have to do is flip the number and add the negative sign!)