IXL - Slopes of parallel and perpendicular lines (Geometry practice)

or

Line
s
has
a
slope
of
5
7
.
Line
t
has
a
slope
of
^–7
5
. Are
line
s
and
line
t
parallel
or
perpendicular?

parallel

perpendicular

neither

ref_doc_title.

or

Learn with an example

question

Line
t
has
a
slope
of
3
8
. Line
u
is
perpendicular
to
t . What
is
the
slope
of
line
u ?

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 u is perpendicular to line t, so its slope is the opposite reciprocal. Find the opposite reciprocal.

3

8

Take the slope of line t

8

3

Find the reciprocal

^–8

3

Find the opposite

The slope of line u is

^–8

3

.

Looking for more? Try these:

Lesson: Equations of parallel and perpendicular lines

or

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Not feeling ready yet? These can help:

E.1Slopes of lines

Y.3Parallel, perpendicular, and intersecting lines

Lesson: Equations of parallel and perpendicular lines