What is the slope of the line perpendicular to the line whose equation is #7x-2y=9#?

Question

2974 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-18T02:16:25

#-2/7#

Let's first put the line in slope-intercept form:

#7x-2y = 9#

#-2y = -7x + 9#

#2y = 7x - 9#

#y = 7/2x-9/2#

So the slope of the original line is #7/2#.

To find the slope of the perpendicular line, we take the negative reciprocal of the original slope.

#(-1)/(7/2) = -2/7#

So the perpendicular line has a slope of #-2/7#

Final Answer