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The points
(
0
,
8
)
(0,8)
(
0
,
8
)
and
(
8
,
p
)
(8,p)
(
8
,
p
)
fall on a line with a
slope
of
−
2
-2
−
2
. What is the value of
p
p
p
?
\newline
p
=
p =
p
=
____
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Math Problems
Algebra 1
Find a missing coordinate using slope
Full solution
Q.
The points
(
0
,
8
)
(0,8)
(
0
,
8
)
and
(
8
,
p
)
(8,p)
(
8
,
p
)
fall on a line with a slope of
−
2
-2
−
2
. What is the value of
p
p
p
?
\newline
p
=
p =
p
=
____
Identify Points and Slope:
Identify the given points and slope.
\newline
Points:
(
0
,
8
)
(0, 8)
(
0
,
8
)
and
(
8
,
p
)
(8, p)
(
8
,
p
)
\newline
Slope:
−
2
-2
−
2
\newline
Use the slope formula: Slope
=
y
2
−
y
1
x
2
−
x
1
= \frac{y_2 - y_1}{x_2 - x_1}
=
x
2
−
x
1
y
2
−
y
1
\newline
−
2
=
p
−
8
8
−
0
-2 = \frac{p - 8}{8 - 0}
−
2
=
8
−
0
p
−
8
Use Slope Formula:
Simplify and solve for
p
p
p
.
\newline
−
2
=
p
−
8
8
-2 = \frac{p - 8}{8}
−
2
=
8
p
−
8
\newline
Multiply both sides by
8
8
8
to clear the
fraction
.
\newline
−
2
×
8
=
(
p
−
8
)
-2 \times 8 = (p - 8)
−
2
×
8
=
(
p
−
8
)
\newline
−
16
=
p
−
8
-16 = p - 8
−
16
=
p
−
8
Simplify and Solve:
Isolate
p
p
p
.
−
16
=
p
−
8
-16 = p - 8
−
16
=
p
−
8
Add
8
8
8
to both sides.
−
16
+
8
=
p
-16 + 8 = p
−
16
+
8
=
p
−
8
=
p
-8 = p
−
8
=
p
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(
−
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6
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2
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2
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2
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1
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1
answer:
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(D)
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What is the slope of the line through
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6
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3
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9
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(A)
−
4
-4
−
4
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4
4
4
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Question
What is the slope of the line through
\newline
(
−
5
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−
10
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(-5,-10)
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−
5
,
−
10
)
and
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(
−
1
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5
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(-1,5)
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1
,
5
)
?
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1
1
1
answer:
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(A)
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15
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4
15
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(B)
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4
15
\frac{4}{15}
15
4
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(C)
\newline
−
15
4
-\frac{15}{4}
−
4
15
\newline
(D)
\newline
−
4
15
-\frac{4}{15}
−
15
4
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Posted 8 months ago
Question
What is the slope of the line through
(
−
1
,
8
)
(-1,8)
(
−
1
,
8
)
and
(
3
,
−
4
)
(3,-4)
(
3
,
−
4
)
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1
1
1
answer:
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(A)
−
1
3
-\frac{1}{3}
−
3
1
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(B)
1
3
\frac{1}{3}
3
1
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(C)
3
3
3
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3
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Question
What is the slope of the line through
(
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4
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2
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(-4,2)
(
−
4
,
2
)
and
(
3
,
−
3
)
(3,-3)
(
3
,
−
3
)
? Choose
1
1
1
answer: (A)
7
5
\frac{7}{5}
5
7
(B)
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7
5
-\frac{7}{5}
−
5
7
(C)
−
5
7
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−
7
5
(D)
5
7
\frac{5}{7}
7
5
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Question
What is the slope of the line through
(
2
,
−
2
)
(2,-2)
(
2
,
−
2
)
and
(
9
,
3
)
(9,3)
(
9
,
3
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
5
7
\frac{5}{7}
7
5
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(B)
−
5
7
-\frac{5}{7}
−
7
5
\newline
(C)
7
5
\frac{7}{5}
5
7
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(D)
−
7
5
-\frac{7}{5}
−
5
7
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Question
What is the slope of the line through
(
1
,
−
1
)
(1,-1)
(
1
,
−
1
)
and
(
5
,
−
7
)
(5,-7)
(
5
,
−
7
)
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1
1
1
answer: (A)
−
3
2
-\frac{3}{2}
−
2
3
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3
2
\frac{3}{2}
2
3
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−
2
3
-\frac{2}{3}
−
3
2
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2
3
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3
2
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Question
What is the slope of the line through
(
1
,
0
)
(1,0)
(
1
,
0
)
and
(
3
,
8
)
(3,8)
(
3
,
8
)
? Choose
1
1
1
answer: (A)
−
1
4
-\frac{1}{4}
−
4
1
(B)
4
4
4
(C)
−
4
-4
−
4
(D)
1
4
\frac{1}{4}
4
1
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Question
What is the slope of the line through
(
−
1
,
−
7
)
(-1,-7)
(
−
1
,
−
7
)
and
(
3
,
9
)
(3,9)
(
3
,
9
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
1
4
\frac{1}{4}
4
1
\newline
(B)
4
4
4
\newline
(C)
−
1
4
-\frac{1}{4}
−
4
1
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(D)
−
4
-4
−
4
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