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Math Problems
Algebra 1
Slopes of parallel and perpendicular lines
This figure shows parallel lines 'a' and 'b' which run almost vertically from top to bottom. Line 'c' running from top left to bottom right and line 'd' running from bottom left to top right intersect line 'a' at the same point and intersect line 'b' at two different points so that lines 'b', 'c', and 'd' form a triangle. The angle above line 'd' and to the right of line 'a' measures
57
57
57
degrees. The angle below line 'd' and above line 'c' measures 'n' degrees. The angle to the right of line 'b' and above line 'c' measures
110
110
110
degrees.
b
b
b
c
c
c
d
d
d
a
a
a
11
0
∘
110^{\circ}
11
0
∘
5
7
∘
57^{\circ}
5
7
∘
n
∘
n^{\circ}
n
∘
In the figure, lines
a
a
a
and
b
b
b
are parallel. Lines
a
a
a
,
c
c
c
, and
d
d
d
all intersect at a single point. What is the value of
n
n
n
?
Get tutor help
Line
c
c
c
has a slope of
7
9
\frac{7}{9}
9
7
. Line
d
d
d
is perpendicular to
c
c
c
. What is the slope of line
d
d
d
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
s
s
s
has a slope of
3
4
\frac{3}{4}
4
3
. Line
t
t
t
has a slope of
3
4
\frac{3}{4}
4
3
.Are line
s
s
s
and line
t
t
t
parallel or perpendicular?
\newline
Choices:
\newline
(A)parallel
\newline
(B)perpendicular
\newline
(C)neither
Get tutor help
Line
s
s
s
has a slope of
9
7
\frac{9}{7}
7
9
. Line
t
t
t
is parallel to line
s
s
s
. What is the slope of line
t
t
t
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
p
p
p
has a slope of
8
3
\frac{8}{3}
3
8
. Line
q
q
q
is perpendicular to
p
p
p
. What is the slope of line
q
q
q
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
e
e
e
has a slope of
5
2
\frac{5}{2}
2
5
. Line
f
f
f
has a slope of
2
5
\frac{2}{5}
5
2
. Are line
e
e
e
and line
f
f
f
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
s
s
s
has a slope of
4
5
\frac{4}{5}
5
4
. Line
t
t
t
is parallel to line
s
s
s
. What is the slope of line
t
t
t
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
g
g
g
has a slope of
8
3
\frac{8}{3}
3
8
. Line
h
h
h
is parallel to line
g
g
g
. What is the slope of line
h
h
h
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
v
v
v
has a slope of
7
9
\frac{7}{9}
9
7
. Line
w
w
w
is perpendicular to
v
v
v
. What is the slope of line
w
w
w
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
p
p
p
has a slope of
4
7
\frac{4}{7}
7
4
. Line
q
q
q
has a slope of
4
7
\frac{4}{7}
7
4
. Are line
p
p
p
and line
q
q
q
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
b
b
b
has a slope of
6
5
\frac{6}{5}
5
6
. Line
c
c
c
is perpendicular to
b
b
b
. What is the slope of line
c
c
c
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
j
j
j
has a slope of
4
9
\frac{4}{9}
9
4
. Line
k
k
k
has a slope of
5
3
\frac{5}{3}
3
5
. Are line
j
j
j
and line
k
k
k
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
p
p
p
has a slope of
7
8
\frac{7}{8}
8
7
. Line
q
q
q
is parallel to line
p
p
p
. What is the slope of line
q
q
q
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
j
j
j
has a slope of
7
3
\frac{7}{3}
3
7
. Line
k
k
k
has a slope of
3
7
\frac{3}{7}
7
3
. Are line
j
j
j
and line
k
k
k
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
m
m
m
has a slope of
3
7
\frac{3}{7}
7
3
. Line
n
n
n
is perpendicular to
m
m
m
. What is the slope of line
n
n
n
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
f
f
f
has a slope of
5
2
\frac{5}{2}
2
5
. Line
g
g
g
is perpendicular to
f
f
f
. What is the slope of line
g
g
g
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
q
q
q
has a slope of
5
3
\frac{5}{3}
3
5
. Line
r
r
r
is perpendicular to
q
q
q
. What is the slope of line
r
r
r
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Line
c
c
c
has a slope of
3
8
\frac{3}{8}
8
3
. Line
d
d
d
is parallel to line
c
c
c
. What is the slope of line
d
d
d
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
_
_
\_\_\_\_
____
Get tutor help
Line
a
a
a
has a slope of
5
9
\frac{5}{9}
9
5
. Line
b
b
b
is perpendicular to
a
a
a
. What is the slope of line
b
b
b
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Line
r
r
r
has a slope of
8
7
\frac{8}{7}
7
8
. Line
s
s
s
is perpendicular to
r
r
r
. What is the slope of line
s
s
s
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Line
u
u
u
has a slope of
3
4
\frac{3}{4}
4
3
. Line
v
v
v
is perpendicular to
u
u
u
. What is the slope of line
v
v
v
?
Get tutor help
Line
p
p
p
has a slope of
7
6
\frac{7}{6}
6
7
. Line
q
q
q
has a slope of
7
6
\frac{7}{6}
6
7
. Are line
p
p
p
and line
q
q
q
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
g
g
g
has a slope of
3
2
\frac{3}{2}
2
3
. Line
h
h
h
is parallel to line
g
g
g
. What is the slope of line
h
h
h
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
r
r
r
has a slope of
3
5
\frac{3}{5}
5
3
. Line
s
s
s
is parallel to line
r
r
r
. What is the slope of line
s
s
s
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
u
u
u
has a slope of
7
4
\frac{7}{4}
4
7
. Line
v
v
v
is parallel to line
u
u
u
. What is the slope of line
v
v
v
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Get tutor help
Line
j
j
j
has a slope of
4
7
\frac{4}{7}
7
4
. Line
k
k
k
is parallel to line
j
j
j
. What is the slope of line
k
k
k
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
r
r
r
has a slope of
2
5
\frac{2}{5}
5
2
. Line
s
s
s
is parallel to line
r
r
r
. What is the slope of line
s
s
s
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
p
p
p
has a slope of
2
7
\frac{2}{7}
7
2
. Line
q
q
q
has a slope of
7
2
\frac{7}{2}
2
7
. Are line
p
p
p
and line
q
q
q
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
v
v
v
has a slope of
9
7
\frac{9}{7}
7
9
. Line
w
w
w
is perpendicular to
v
v
v
. What is the slope of line
w
w
w
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
r
r
r
has a slope of
7
5
\frac{7}{5}
5
7
. Line
s
s
s
is perpendicular to
r
r
r
. What is the slope of line
s
s
s
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
q
q
q
has a slope of
7
4
\frac{7}{4}
4
7
. Line
r
r
r
is perpendicular to
q
q
q
. What is the slope of line
r
r
r
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
v
v
v
has a slope of
2
5
\frac{2}{5}
5
2
. Line
w
w
w
has a slope of
2
5
\frac{2}{5}
5
2
.Are line
v
v
v
and line
w
w
w
parallel or perpendicular?
\newline
Choices:
\newline
(A)parallel
\newline
(B)perpendicular
\newline
(C)neither
Get tutor help
Line
t
t
t
has a slope of
4
3
\frac{4}{3}
3
4
. Line
u
u
u
is parallel to line
t
t
t
. What is the slope of line
u
u
u
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
b
b
b
has a slope of
6
5
\frac{6}{5}
5
6
. Line
c
c
c
has a slope of
6
5
\frac{6}{5}
5
6
.Are line
b
b
b
and line
c
c
c
parallel or perpendicular?
\newline
Choices:
\newline
(A)parallel
\newline
(B)perpendicular
\newline
(C)neither
Get tutor help
Line
a
a
a
has a slope of
4
5
\frac{4}{5}
5
4
. Line
b
b
b
is perpendicular to
a
a
a
. What is the slope of line
b
b
b
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
b
b
b
has a slope of
4
9
\frac{4}{9}
9
4
. Line
c
c
c
has a slope of
9
4
\frac{9}{4}
4
9
. Are line
b
b
b
and line
c
c
c
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
d
d
d
has a slope of
5
6
\frac{5}{6}
6
5
. Line
e
e
e
is perpendicular to
d
d
d
. What is the slope of line
e
e
e
?
Get tutor help
Line
v
v
v
has a slope of
6
5
\frac{6}{5}
5
6
. Line
w
w
w
has a slope of
5
6
\frac{5}{6}
6
5
. Are line
v
v
v
and line
w
w
w
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
d
d
d
has a slope of
8
9
\frac{8}{9}
9
8
. Line
e
e
e
is perpendicular to
d
d
d
. What is the slope of line
e
e
e
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
b
b
b
has a slope of
4
3
\frac{4}{3}
3
4
. Line
c
c
c
is perpendicular to
b
b
b
. What is the slope of line
c
c
c
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
u
u
u
has a slope of
7
6
\frac{7}{6}
6
7
. Line
v
v
v
is parallel to line
u
u
u
. What is the slope of line
v
v
v
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
e
e
e
has a slope of
5
8
\frac{5}{8}
8
5
. Line
f
f
f
has a slope of
8
5
\frac{8}{5}
5
8
. Are line
e
e
e
and line
f
f
f
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
r
r
r
has a slope of
9
7
\frac{9}{7}
7
9
. Line
s
s
s
has a slope of
9
7
\frac{9}{7}
7
9
.Are line
r
r
r
and line
s
s
s
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
v
v
v
has a slope of
4
9
\frac{4}{9}
9
4
. Line
w
w
w
is parallel to line
v
v
v
. What is the slope of line
w
w
w
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
r
r
r
has a slope of
8
3
\frac{8}{3}
3
8
. Line
s
s
s
has a slope of
6
7
\frac{6}{7}
7
6
. Are line
r
r
r
and line
s
s
s
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
v
v
v
has a slope of
7
3
\frac{7}{3}
3
7
. Line
w
w
w
is parallel to line
v
v
v
. What is the slope of line
w
w
w
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
g
g
g
has a slope of
8
7
\frac{8}{7}
7
8
. Line
h
h
h
is parallel to line
g
g
g
. What is the slope of line
h
h
h
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
a
a
a
has a slope of
4
9
\frac{4}{9}
9
4
. Line
b
b
b
is perpendicular to
a
a
a
. What is the slope of line
b
b
b
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
g
g
g
has a slope of
2
7
\frac{2}{7}
7
2
. Line
h
h
h
has a slope of
2
7
\frac{2}{7}
7
2
. Are line
g
g
g
and line
h
h
h
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
v
v
v
has a slope of
8
9
\frac{8}{9}
9
8
. Line
w
w
w
is parallel to line
v
v
v
. What is the slope of line
w
w
w
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
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