Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the equation of the line that passes through the origin and is perpendicular to the line that passes through the following points: #(9,2),(-2,8) #?

1 Answer

Jun 4, 2016

#6y=11x#

Explanation:

A line through #(9,2)# and #(-2,8)# has a slope of
#color(white)("XXX")m_1=(8-2)/(-2-9)=-6/11#

All lines perpendicular to this will have a slope of
#color(white)("XXX")m_2=-1/m_1=11/6#

Using the slope-point form, a line through the origin with this perpendicular slope will have an equation:
#color(white)("XXX")(y-0)/(x-0)=11/6#
or
#color(white)("XXX")6y=11x#

Related questions

See all questions in Equations of Perpendicular Lines

Impact of this question

1573 views around the world

You can reuse this answer
Creative Commons License