IXL - Equations of perpendicular lines (Geometry practice)

or

Line
s
has
a
slope
of
^–9
5
. Line
t
is
perpendicular
to
s . What
is
the
slope
of
line
t ?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

ref_doc_title.

or

Learn with an example

question

Line
m
has
a
slope
of
^–9
5
. Line
n
is
perpendicular
to
m . What
is
the
slope
of
line
n ?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

key idea

Parallel lines have the same slope.

Perpendicular
lines
have
slopes
that
are
opposite
reciprocals,
like
a
b
and
^–b
a
.
The
slopes
also
have
a
product
of
^- 1.

solution

Line n is perpendicular to line m, so its slope is the opposite reciprocal. Find the opposite reciprocal.

^–9

5

Take the slope of line m

^–5

9

Find the reciprocal

5

9

Find the opposite

The slope of line n is

5

9

.

Looking for more? Try these:

Lesson: Equations of parallel and perpendicular lines

or

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Work it out

Not feeling ready yet? These can help:

E.1Slopes of lines

E.3Equations of lines

Y.3Parallel, perpendicular, and intersecting lines

Lesson: Equations of parallel and perpendicular lines