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Algebra 1
Write an equation for a parallel or perpendicular line
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
\newline
(C)
y
=
1
3
x
+
1
y=\frac{1}{3} x+1
y
=
3
1
x
+
1
\newline
(D)
y
=
−
3
x
+
3
y=-3 x+3
y
=
−
3
x
+
3
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The equation
6
y
+
12
x
=
18
6 y+12 x=18
6
y
+
12
x
=
18
is graphed in the
x
y
x y
x
y
-plane. Which of the following equations has a graph that is perpendicular to the graph of the given equation?
\newline
Choose
1
1
1
answer:
\newline
(A)
y
=
−
2
x
+
3
y=-2 x+3
y
=
−
2
x
+
3
\newline
(B)
y
=
1
2
x
+
3
y=\frac{1}{2} x+3
y
=
2
1
x
+
3
\newline
(C)
y
=
2
x
+
3
y=2 x+3
y
=
2
x
+
3
\newline
(D)
y
=
−
1
2
x
+
3
y=-\frac{1}{2} x+3
y
=
−
2
1
x
+
3
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Which of the following is an equation of the line in the
x
y
x y
x
y
-plane that passes through the point
(
−
1
2
,
2
)
\left(-\frac{1}{2}, 2\right)
(
−
2
1
,
2
)
and is parallel to the line with equation
y
=
−
8
x
+
3
y=-8 x+3
y
=
−
8
x
+
3
?
\newline
Choose
1
1
1
answer:
\newline
(A)
y
=
1
8
x
+
4
y=\frac{1}{8} x+4
y
=
8
1
x
+
4
\newline
(B)
y
=
1
8
x
+
1
y=\frac{1}{8} x+1
y
=
8
1
x
+
1
\newline
(C)
y
=
−
8
x
−
2
y=-8 x-2
y
=
−
8
x
−
2
\newline
(D)
y
=
−
8
x
+
2
y=-8 x+2
y
=
−
8
x
+
2
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Which of the following is the equation of the line
A
A
A
graphed in the
x
y
x y
x
y
-plane that passes through the point
(
−
2
,
2
)
(-2,2)
(
−
2
,
2
)
and is parallel to the line
B
B
B
whose equation is
y
−
3
=
0
y-3=0
y
−
3
=
0
?
\newline
Choose
1
1
1
answer:
\newline
(A)
y
+
2
=
0
y+2=0
y
+
2
=
0
\newline
(B)
x
+
2
=
0
x+2=0
x
+
2
=
0
\newline
(C)
y
−
2
=
0
y-2=0
y
−
2
=
0
\newline
(D)
x
−
2
=
0
x-2=0
x
−
2
=
0
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Line
p
p
p
has an equation of
y
=
−
8
x
+
6
y = -8x + 6
y
=
−
8
x
+
6
. Line
q
q
q
, which is perpendicular to line
p
p
p
, includes the point
(
2
,
−
2
)
(2, -2)
(
2
,
−
2
)
. What is the equation of line
q
q
q
?
?
?
\newline
Write the equation in slope-intercept form.
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