Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the slope of any line perpendicular to the line passing through $(-9,5)$ and $(2,-43)$ ?

2 Answers

Jul 8, 2016

$color(blue)(11/48)$

Explanation:

If a line has a slope of $color(green)(m)$
then any line perpendicular to it has a slope of $color(green)(""(-1/m))$

A line through $(-9,5)$ and $(2,-43)$ has a slope of
$color(white)("XXX")m=(Deltay)/(Deltax)=(5-(-43))/(-9-2)=-48/11$

So any line perpendicular to this has a slope of
$color(white)("XXX")11/48$

Jul 8, 2016

Reqd. Slope $=11/48.$

Explanation:

Let us name the line passing thro. two given pts. $L$ .

Then, Slope of $L = (5-(-43))/(-9-2)=48/-11.$

Therefore, the slope of any line perp. to $L$ is given by $-1/(48/-11)=11/48$

Related questions

See all questions in Equations of Perpendicular Lines

Impact of this question

1942 views around the world

You can reuse this answer
Creative Commons License