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Let’s check out your problem:
The points
(
9
,
z
)
(9,z)
(
9
,
z
)
and
(
10
,
9
)
(10,9)
(
10
,
9
)
fall on a line with a
slope
of
6
6
6
. What is the value of
z
z
z
?
\newline
z
=
_
_
_
z = \_\_\_
z
=
___
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Math Problems
Algebra 1
Find a missing coordinate using slope
Full solution
Q.
The points
(
9
,
z
)
(9,z)
(
9
,
z
)
and
(
10
,
9
)
(10,9)
(
10
,
9
)
fall on a line with a slope of
6
6
6
. What is the value of
z
z
z
?
\newline
z
=
_
_
_
z = \_\_\_
z
=
___
Identify Points and Slope:
Identify the given points and the slope.
\newline
We have the points
(
9
,
z
)
(9, z)
(
9
,
z
)
and
(
10
,
9
)
(10, 9)
(
10
,
9
)
, and the slope of the line is
6
6
6
.
Use Slope Formula:
Use the slope formula to set up an equation.
\newline
The slope formula is
(
y
2
−
y
1
)
/
(
x
2
−
x
1
)
(y_2 - y_1) / (x_2 - x_1)
(
y
2
−
y
1
)
/
(
x
2
−
x
1
)
. Let's plug in our values.
\newline
6
=
(
9
−
z
)
/
(
10
−
9
)
6 = (9 - z) / (10 - 9)
6
=
(
9
−
z
)
/
(
10
−
9
)
Simplify and Solve:
Simplify the denominator and solve for
z
z
z
.
\newline
Since
10
−
9
=
1
10 - 9 = 1
10
−
9
=
1
, the equation simplifies to:
\newline
6
=
9
−
z
6 = 9 - z
6
=
9
−
z
\newline
Now, we solve for
z
z
z
.
Isolate z:
Isolate z on one side of the equation.
\newline
6
=
9
−
z
6 = 9 - z
6
=
9
−
z
\newline
Add z to both sides:
\newline
6
+
z
=
9
6 + z = 9
6
+
z
=
9
\newline
Now, subtract
6
6
6
from both sides:
\newline
z
=
9
−
6
z = 9 - 6
z
=
9
−
6
\newline
z
=
3
z = 3
z
=
3
More problems from Find a missing coordinate using slope
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:
\newline
(A)
1
2
\frac{1}{2}
2
1
\newline
(B)
−
2
-2
−
2
\newline
(C)
2
2
2
\newline
(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
)
(-10,1)
(
−
10
,
1
)
and
(
0
,
−
4
)
(0,-4)
(
0
,
−
4
)
? Choose
1
1
1
answer:
\newline
(A)
2
2
2
\newline
(B)
1
2
\frac{1}{2}
2
1
\newline
(C)
−
1
2
-\frac{1}{2}
−
2
1
\newline
(D)
−
2
-2
−
2
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Posted 10 months ago
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:
\newline
(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:
\newline
(A)
−
1
3
-\frac{1}{3}
−
3
1
\newline
(B)
1
3
\frac{1}{3}
3
1
\newline
(C)
3
3
3
\newline
(D)
−
3
-3
−
3
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Posted 10 months ago
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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Posted 10 months ago
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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Posted 10 months ago
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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Posted 10 months ago
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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Posted 10 months ago
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
\newline
(D)
−
4
-4
−
4
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Posted 10 months ago
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