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Math Problems
Algebra 1
Write an equation for a parallel or perpendicular line
Line
s
s
s
has an equation of
y
=
8
x
+
7
y = 8x + 7
y
=
8
x
+
7
. Line
t
t
t
is perpendicular to line
s
s
s
and passes through
(
−
8
,
−
2
)
(-8,-2)
(
−
8
,
−
2
)
. What is the equation of line
t
t
t
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
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The equation of line
g
g
g
is
y
=
8
9
x
+
2
y = \frac{8}{9}x + 2
y
=
9
8
x
+
2
. Line
h
h
h
is parallel to line
g
g
g
and passes through
(
9
,
4
)
(9,4)
(
9
,
4
)
. What is the equation of line
h
h
h
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
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The equation for line
k
k
k
can be written as
y
=
−
1
5
x
−
3
y = -\frac{1}{5}x - 3
y
=
−
5
1
x
−
3
. Perpendicular to line
k
k
k
is line , which passes through the point
(
1
,
−
5
)
(1,-5)
(
1
,
−
5
)
. What is the equation of line ? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
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The equation for line
c
c
c
can be written as
y
=
−
3
7
x
+
4
y = -\frac{3}{7}x + 4
y
=
−
7
3
x
+
4
. Perpendicular to line
c
c
c
is line
d
d
d
, which passes through the point
(
2
,
4
)
(2,4)
(
2
,
4
)
. What is the equation of line
d
d
d
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation for line
q
q
q
can be written as
y
=
8
3
x
−
1
y = \frac{8}{3}x - 1
y
=
3
8
x
−
1
. Line
r
r
r
is perpendicular to line
q
q
q
and passes through
(
8
,
−
7
)
(8,-7)
(
8
,
−
7
)
. What is the equation of line
r
r
r
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation of line
c
c
c
is
y
=
1
8
x
+
10
y = \frac{1}{8}x + 10
y
=
8
1
x
+
10
. Line
d
d
d
is perpendicular to line
c
c
c
and passes through
(
−
1
,
1
)
(-1,1)
(
−
1
,
1
)
. What is the equation of line
d
d
d
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation of line
q
q
q
is
y
=
3
x
−
2
y = 3x - 2
y
=
3
x
−
2
. Line
r
r
r
is perpendicular to line
q
q
q
and passes through
(
1
,
3
)
(1,3)
(
1
,
3
)
. What is the equation of line
r
r
r
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation for line
s
s
s
can be written as
y
=
3
10
x
+
8
y = \frac{3}{10}x + 8
y
=
10
3
x
+
8
. Line
t
t
t
is parallel to line
s
s
s
and passes through
(
−
7
,
−
2
)
(-7,-2)
(
−
7
,
−
2
)
. What is the equation of line
t
t
t
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
Line
t
t
t
has an equation of
y
=
10
x
−
8
y = 10x - 8
y
=
10
x
−
8
. Line
u
u
u
is perpendicular to line
t
t
t
and passes through
(
−
10
,
−
6
)
(-10,-6)
(
−
10
,
−
6
)
. What is the equation of line
u
u
u
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation for line
u
u
u
can be written as
y
=
−
9
4
x
+
1
y = -\frac{9}{4}x + 1
y
=
−
4
9
x
+
1
. Line
v
v
v
, which is perpendicular to line
u
u
u
, includes the point
(
−
3
,
2
)
(-3,2)
(
−
3
,
2
)
. What is the equation of line
v
v
v
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation for line
v
v
v
can be written as
y
=
−
9
7
x
−
5
y = -\frac{9}{7}x - 5
y
=
−
7
9
x
−
5
. Line
w
w
w
, which is perpendicular to line
v
v
v
, includes the point
(
9
,
6
)
(9,6)
(
9
,
6
)
. What is the equation of line
w
w
w
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation for line
g
g
g
can be written as
y
=
7
2
x
+
6
y = \frac{7}{2}x + 6
y
=
2
7
x
+
6
. Line
h
h
h
includes the point
(
−
2
,
−
3
)
(-2,-3)
(
−
2
,
−
3
)
and is parallel to line
g
g
g
. What is the equation of line
h
h
h
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation for line
p
p
p
can be written as
y
=
−
1
2
x
+
8
y = -\frac{1}{2}x + 8
y
=
−
2
1
x
+
8
. Line
q
q
q
, which is perpendicular to line
p
p
p
, includes the point
(
4
,
7
)
(4,7)
(
4
,
7
)
. What is the equation of line
q
q
q
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation of line
v
v
v
is
y
=
9
x
+
1
y = 9x + 1
y
=
9
x
+
1
. Line
w
w
w
is perpendicular to line
v
v
v
and passes through
(
3
,
−
2
)
(3,-2)
(
3
,
−
2
)
. What is the equation of line
w
w
w
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation of line
s
s
s
is
y
=
−
1
2
x
+
5
y = -\frac{1}{2}x + 5
y
=
−
2
1
x
+
5
. Line
t
t
t
includes the point
(
−
10
,
−
4
)
(-10,-4)
(
−
10
,
−
4
)
and is parallel to line
s
s
s
. What is the equation of line
t
t
t
? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
Line
g
g
g
has an equation of
y
=
1
3
x
−
1
y = \frac{1}{3}x - 1
y
=
3
1
x
−
1
. Parallel to line
g
g
g
is line
h
h
h
, which passes through the point
(
10
,
2
)
(10,2)
(
10
,
2
)
. What is the equation of line
h
h
h
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation of line
v
v
v
is
y
=
x
+
1
7
y = x + \frac{1}{7}
y
=
x
+
7
1
. Parallel to line
v
v
v
is line
w
w
w
, which passes through the point
(
−
1
,
−
2
)
(-1,-2)
(
−
1
,
−
2
)
. What is the equation of line
w
w
w
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation for line
p
p
p
can be written as
y
=
9
7
x
−
9
y = \frac{9}{7}x - 9
y
=
7
9
x
−
9
. Line
q
q
q
is perpendicular to line
p
p
p
and passes through
(
9
,
−
6
)
(9,-6)
(
9
,
−
6
)
. What is the equation of line
q
q
q
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation for line
c
c
c
can be written as
y
=
3
4
x
−
2
y = \frac{3}{4}x - 2
y
=
4
3
x
−
2
. Line
d
d
d
, which is perpendicular to line
c
c
c
, includes the point
(
6
,
−
3
)
(6,-3)
(
6
,
−
3
)
. What is the equation of line
d
d
d
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
Line
g
g
g
has an equation of
y
=
−
2
9
x
+
6
y = -\frac{2}{9}x + 6
y
=
−
9
2
x
+
6
. Parallel to line
g
g
g
is line
h
h
h
, which passes through the point
(
3
,
2
)
(3,2)
(
3
,
2
)
. What is the equation of line
h
h
h
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
Line
v
v
v
has an equation of
y
=
−
2
x
+
5
y = -2x + 5
y
=
−
2
x
+
5
. Perpendicular to line
v
v
v
is line
w
w
w
, which passes through the point
(
6
,
−
5
)
(6,-5)
(
6
,
−
5
)
. What is the equation of line
w
w
w
? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
Line
v
v
v
has an equation of
y
=
8
x
+
2
y = 8x + 2
y
=
8
x
+
2
. Line
w
w
w
is parallel to line
v
v
v
and passes through
(
−
1
,
−
2
)
(-1,-2)
(
−
1
,
−
2
)
. What is the equation of line
w
w
w
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
Line
p
p
p
has an equation of
y
=
−
5
6
x
−
5
y = -\frac{5}{6}x - 5
y
=
−
6
5
x
−
5
. Line
q
q
q
includes the point
(
9
,
−
4
)
(9,-4)
(
9
,
−
4
)
and is parallel to line
p
p
p
. What is the equation of line
q
q
q
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation of line
g
g
g
is
y
=
6
x
−
7
y = 6x - 7
y
=
6
x
−
7
. Line
h
h
h
, which is parallel to line
g
g
g
, includes the point
(
1
,
1
)
(1,1)
(
1
,
1
)
. What is the equation of line
h
h
h
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation for line
p
p
p
can be written as
y
=
−
5
4
x
−
6
y = -\frac{5}{4}x - 6
y
=
−
4
5
x
−
6
. Line
q
q
q
includes the point
(
5
,
−
8
)
(5,-8)
(
5
,
−
8
)
and is parallel to line
p
p
p
. What is the equation of line
q
q
q
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
A line has this equation:
y
=
7
x
−
5
y=7 x-5
y
=
7
x
−
5
\newline
Write an equation for the parallel line that goes through
(
−
4
,
9
)
(-4,9)
(
−
4
,
9
)
.
Get tutor help
b) Perpendicular to the line
2
x
−
4
y
=
−
3
2 x-4 y=-3
2
x
−
4
y
=
−
3
with the same
x
x
x
-intercept as
y
=
−
5
x
+
20
y=-5 x+20
y
=
−
5
x
+
20
.
Get tutor help
A line in the
x
y
xy
x
y
-plane passes through the point
(
4
,
−
1
)
(4, -1)
(
4
,
−
1
)
and is perpendicular to the line with equation
y
=
x
+
5
y = x + 5
y
=
x
+
5
. Which of the following is an equation of the line?
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Q
5
5
5
. Write the equation of the plane that meets the following conditions:
\newline
- perpendicular to the plane,
2
x
+
2
y
−
z
=
2
2 x+2 y-z=2
2
x
+
2
y
−
z
=
2
\newline
- contains the line,
x
=
1
+
t
,
y
=
2
t
,
z
=
2
x=1+t, y=2 \mathrm{t}, z=2
x
=
1
+
t
,
y
=
2
t
,
z
=
2
Get tutor help
S/eb
99
99
99
ae
8
8
8
ca
5
5
5
aca
230
230
230
d
61
61
61
d
5755401
5755401
5755401
eb
316
316
316
\newline
Penalty: none
\newline
n
\newline
Sho
\newline
equation represents a line which is perpendicular to the line
7
x
−
8
y
=
16
?
7 x-8 y=16 ?
7
x
−
8
y
=
16
?
\newline
swer
\newline
y
=
8
7
x
−
1
y
=
−
8
7
x
−
7
\begin{array}{l} y=\frac{8}{7} x-1 \\ y=-\frac{8}{7} x-7 \end{array}
y
=
7
8
x
−
1
y
=
−
7
8
x
−
7
\newline
y
=
7
8
x
+
8
y=\frac{7}{8} x+8
y
=
8
7
x
+
8
\newline
Submit Answer
\newline
y
=
−
7
8
x
+
4
y=-\frac{7}{8} x+4
y
=
−
8
7
x
+
4
Get tutor help
What is the equation of the line graphed in the
x
y
x y
x
y
-plane that passes through the point
(
6
,
3
)
(6,3)
(
6
,
3
)
and is perpendicular to the line whose equation is
y
=
−
3
x
+
5
y=-3 x+5
y
=
−
3
x
+
5
?
\newline
Choose
1
1
1
answer:
\newline
(A)
y
=
3
x
+
1
3
y=3 x+\frac{1}{3}
y
=
3
x
+
3
1
\newline
(B)
y
=
1
3
x
+
5
y=\frac{1}{3} x+5
y
=
3
1
x
+
5
Get tutor help
Google Classroom
\newline
What is the equation of the line graphed in the
x
y
x y
x
y
-plane that passes through the point
(
6
,
3
)
(6,3)
(
6
,
3
)
and is perpendicular to the line whose equation is
y
=
−
3
x
+
5
y=-3 x+5
y
=
−
3
x
+
5
?
\newline
Choose
1
1
1
answer:
\newline
y
=
3
x
+
1
3
y=3 x+\frac{1}{3}
y
=
3
x
+
3
1
Get tutor help
Which of the following is the equation of a line perpendicular to
x
+
5
y
=
−
11
x+5 y=-11
x
+
5
y
=
−
11
and passing through
(
−
8
,
−
5
)
(-8,-5)
(
−
8
,
−
5
)
?
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The equation for line
c
c
c
can be written as
y
=
−
6
7
x
−
1
y= -\frac{6}{7}x-1
y
=
−
7
6
x
−
1
. Line
d
d
d
is parallel to line
c
c
c
and passes through
(
10
,
−
9
)
(10, -9)
(
10
,
−
9
)
. What is the equation of line
d
d
d
?
Get tutor help
The equation for line
p
p
p
can be written as
y
=
9
7
x
−
9
y=\frac{9}{7}x-9
y
=
7
9
x
−
9
. Line
q
q
q
is perpendicular to line
p
p
p
and passes through
(
9
,
−
6
)
(9,-6)
(
9
,
−
6
)
. What is the equation of line
q
q
q
?
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The equation for line
u
u
u
can be written as
y
=
−
2
x
+
10
y = -2x + 10
y
=
−
2
x
+
10
. Line
v
v
v
, which is parallel to line
u
u
u
, includes the point
(
−
1
,
2
)
(-1, 2)
(
−
1
,
2
)
. What is the equation of line
v
v
v
?
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Which of the following is an equation of the line graphed in the
x
y
xy
x
y
plane that passes through the point
(
−
1
,
3.5
)
(-1,3.5)
(
−
1
,
3.5
)
and is perpendicular to the line
B
B
B
whose equation is
x
+
4.5
=
0
x+4.5=0
x
+
4.5
=
0
?
\newline
Choose
1
1
1
answer:
\newline
(A)
\text{(A)}
(A)
x
=
−
1
x=-1
x
=
−
1
\newline
(B)
\text{(B)}
(B)
x
=
3.5
x=3.5
x
=
3.5
\newline
(C)
\text{(C)}
(C)
y
=
3.5
y=3.5
y
=
3.5
\newline
(D)
\text{(D)}
(D)
y
=
4.5
y=4.5
y
=
4.5
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The equation
3
x
−
2
y
=
4
3x-2y=4
3
x
−
2
y
=
4
is graphed in the
x
y
xy
x
y
-plane. Which of the statements is true of its graph?
\newline
Choose
1
1
1
answer:
\newline
(A) The graph is a line parallel to the line whose equation is
y
=
−
2
3
x
+
1
y=-\frac{2}{3}x+1
y
=
−
3
2
x
+
1
.
\newline
(B) The graph is a line perpendicular to the line whose equation is
y
=
−
2
3
x
+
1
y=-\frac{2}{3}x+1
y
=
−
3
2
x
+
1
.
\newline
(C) The graph is a line with a slope of
−
2
3
-\frac{2}{3}
−
3
2
.
\newline
(D) The graph is a line with a slope of
−
3
2
-\frac{3}{2}
−
2
3
.
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Geometry
\newline
> E.
5
5
5
Equations of parallel and perpendicular lines VEB
\newline
Video (D)
\newline
Questions
\newline
answered
\newline
The equation for line
\newline
j
j
j
can be written as
\newline
y
=
−
5
7
x
−
10
y=-\frac{5}{7}x-10
y
=
−
7
5
x
−
10
. Line
\newline
k
k
k
, which is parallel to line
\newline
j
j
j
, includes the point
\newline
(
−
9
,
5
)
(-9,5)
(
−
9
,
5
)
. What is the equation of line
\newline
k
k
k
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
\newline
Submit
\newline
858
858
858
\newline
Time
\newline
elapsed
\newline
\newline
11
11
11
\newline
22
22
22
\newline
13
13
13
\newline
\newline
HR
\newline
MIN
\newline
SEC
\newline
\newline
Smartscore
\newline
out of
y
=
−
5
7
x
−
10
y=-\frac{5}{7}x-10
y
=
−
7
5
x
−
10
0
0
0
\newline
y
=
−
5
7
x
−
10
y=-\frac{5}{7}x-10
y
=
−
7
5
x
−
10
1
1
1
\newline
Work it out
\newline
Not feeling ready yet? These can help:
\newline
Slopes of parallel and perpendicular lines (
y
=
−
5
7
x
−
10
y=-\frac{5}{7}x-10
y
=
−
7
5
x
−
10
2
2
2
)
\newline
Equations of lines (
y
=
−
5
7
x
−
10
y=-\frac{5}{7}x-10
y
=
−
7
5
x
−
10
1
1
1
)
\newline
Lesson: Equations of parallel and perpendicular lines
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The equation for line
j
j
j
can be written as
y
+
5
=
5
(
x
+
5
)
y+5=5(x+5)
y
+
5
=
5
(
x
+
5
)
. Line
k
k
k
includes the point
(
5
,
3
)
(5,3)
(
5
,
3
)
and is perpendicular to line
j
j
j
. What is the equation of line
k
k
k
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
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The equation for line
g
g
g
can be written as
y
+
6
=
−
7
4
(
x
−
6
)
y+6=-\frac{7}{4}(x-6)
y
+
6
=
−
4
7
(
x
−
6
)
. Line
h
h
h
is parallel to line
g
g
g
and passes through
(
6
,
−
7
)
(6,-7)
(
6
,
−
7
)
. What is the equation of line
h
h
h
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
Line
j
j
j
has an equation of
y
+
6
=
y+6=
y
+
6
=
6
(
x
−
1
)
6(x-1)
6
(
x
−
1
)
. Line
k
k
k
is perpendicular to line
j
j
j
and passes through
(
8
,
−
4
)
(8,-4)
(
8
,
−
4
)
. What is the equation of line
k
k
k
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation of line
p
p
p
is
y
+
5
=
y+5=
y
+
5
=
−
10
(
x
+
2
)
-10(x+2)
−
10
(
x
+
2
)
. Line
q
q
q
is perpendicular to line
p
p
p
and passes through
(
−
1
,
−
1
)
(-1,-1)
(
−
1
,
−
1
)
. What is the equation of line
q
q
q
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation of line
k
k
k
is
y
+
10
=
y+10=
y
+
10
=
3
(
x
+
3
)
3(x+3)
3
(
x
+
3
)
. Perpendicular to line
k
k
k
is line
ℓ
\ell
ℓ
, which passes through the point
(
5
,
−
5
)
(5,-5)
(
5
,
−
5
)
. What is the equation of line
ℓ
\ell
ℓ
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
Line
j
j
j
has an equation of
y
=
−
9
7
x
+
10
7
y=-\frac{9}{7} x+\frac{10}{7}
y
=
−
7
9
x
+
7
10
. Line
k
k
k
is parallel to line
j
j
j
and passes through
(
−
4
,
4
)
(-4,4)
(
−
4
,
4
)
. What is the equation of line
k
k
k
?
\newline
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Get tutor help
The equation for line
k
k
k
can be written as
x
+
7
y
=
−
3
x+7y=-3
x
+
7
y
=
−
3
. Line
l
l
l
includes the point
(
2
,
9
)
(2,9)
(
2
,
9
)
and is perpendicular to line
k
k
k
. What is the equation of line
n
n
n
Get tutor help
Line
g
g
g
has an equation of
y
=
2
x
+
1
y=2 x+1
y
=
2
x
+
1
. Line
h
h
h
includes the point
(
−
5
,
2
)
(-5,2)
(
−
5
,
2
)
and is perpendicular to line
g
g
g
. What is the equation of line
h
h
h
?
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* L.
19
19
19
Write an equation for a parallel or perpendicular line
5
5
5
S.H
\newline
Line
g
g
g
has an equation of
y
=
2
x
+
1
y=2 x+1
y
=
2
x
+
1
. Line
h
h
h
includes the point
(
−
5
,
2
)
(-5,2)
(
−
5
,
2
)
and is perpendicular to line
g
\mathrm{g}
g
. What is the equation of line
h
\mathrm{h}
h
?
Get tutor help
The equation of line
\newline
v
v
v
is
\newline
y
=
x
+
1
7
y=x+\frac{1}{7}
y
=
x
+
7
1
. Parallel to line
\newline
v
v
v
is line
\newline
w
w
w
, which passes through the point
\newline
(
−
1
,
−
2
)
(-1,-2)
(
−
1
,
−
2
)
. What is the equation of line
w
w
w
?
Get tutor help
The equation of line
v
v
v
is
y
=
x
+
1
7
y=x+\frac{1}{7}
y
=
x
+
7
1
. Parallel to line
v
v
v
is line
w
w
w
, which passes through the point
(
−
1
,
−
2
)
(-1,-2)
(
−
1
,
−
2
)
. What is the equation of the w?
Get tutor help
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