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Let’s check out your problem:
The points
(
9
,
1
)
(9,1)
(
9
,
1
)
and
(
10
,
a
)
(10,a)
(
10
,
a
)
fall on a line with a
slope
of
−
1
-1
−
1
. What is the value of
a
a
a
?
\newline
a = ____
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Math Problems
Algebra 1
Find a missing coordinate using slope
Full solution
Q.
The points
(
9
,
1
)
(9,1)
(
9
,
1
)
and
(
10
,
a
)
(10,a)
(
10
,
a
)
fall on a line with a slope of
−
1
-1
−
1
. What is the value of
a
a
a
?
\newline
a = ____
Calculate Slope:
Points:
(
9
,
1
)
(9, 1)
(
9
,
1
)
and
(
10
,
a
)
(10, a)
(
10
,
a
)
\newline
Slope:
−
1
-1
−
1
\newline
Select the equation that represents the slope of the line.
\newline
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
−
1
=
a
−
1
10
−
9
-1 = \frac{a - 1}{10 - 9}
−
1
=
10
−
9
a
−
1
Simplify Equation:
−
1
=
a
−
1
10
−
9
-1 = \frac{a - 1}{10 - 9}
−
1
=
10
−
9
a
−
1
\newline
Simplify the right side of the equation.
\newline
−
1
=
a
−
1
1
-1 = \frac{a - 1}{1}
−
1
=
1
a
−
1
Solve for
a
a
a
:
−
1
=
a
−
1
-1 = a - 1
−
1
=
a
−
1
\newline
Solve for
a
a
a
.
\newline
−
1
+
1
=
a
−
1
+
1
-1 + 1 = a - 1 + 1
−
1
+
1
=
a
−
1
+
1
\newline
0
=
a
0 = a
0
=
a
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Question
What is the slope of the line through
(
−
2
,
−
6
)
(-2,-6)
(
−
2
,
−
6
)
and
(
2
,
2
)
(2,2)
(
2
,
2
)
?
\newline
Choose
1
1
1
answer:
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(A)
1
2
\frac{1}{2}
2
1
\newline
(B)
−
2
-2
−
2
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(C)
2
2
2
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(D)
−
1
2
-\frac{1}{2}
−
2
1
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Posted 10 months ago
Question
What is the slope of the line through
(
−
10
,
1
)
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(
−
10
,
1
)
and
(
0
,
−
4
)
(0,-4)
(
0
,
−
4
)
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1
1
1
answer:
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(A)
2
2
2
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(B)
1
2
\frac{1}{2}
2
1
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(C)
−
1
2
-\frac{1}{2}
−
2
1
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(D)
−
2
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−
2
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Question
What is the slope of the line through
(
−
9
,
−
6
)
(-9,-6)
(
−
9
,
−
6
)
and
(
3
,
−
9
)
(3,-9)
(
3
,
−
9
)
? Choose
1
1
1
answer:
\newline
(A)
−
4
-4
−
4
\newline
(B)
1
4
\frac{1}{4}
4
1
\newline
(C)
4
4
4
\newline
(D)
−
1
4
-\frac{1}{4}
−
4
1
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Posted 10 months ago
Question
What is the slope of the line through
\newline
(
−
5
,
−
10
)
(-5,-10)
(
−
5
,
−
10
)
and
\newline
(
−
1
,
5
)
(-1,5)
(
−
1
,
5
)
?
\newline
Choose
1
1
1
answer:
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(A)
\newline
15
4
\frac{15}{4}
4
15
\newline
(B)
\newline
4
15
\frac{4}{15}
15
4
\newline
(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
)
? Choose
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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(D)
−
3
-3
−
3
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Question
What is the slope of the line through
(
−
4
,
2
)
(-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)
−
7
5
-\frac{7}{5}
−
5
7
(C)
−
5
7
-\frac{5}{7}
−
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
\newline
(B)
−
5
7
-\frac{5}{7}
−
7
5
\newline
(C)
7
5
\frac{7}{5}
5
7
\newline
(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
)
? Choose
1
1
1
answer: (A)
−
3
2
-\frac{3}{2}
−
2
3
(B)
3
2
\frac{3}{2}
2
3
(C)
−
2
3
-\frac{2}{3}
−
3
2
(D)
2
3
\frac{2}{3}
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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