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Let’s check out your problem:
A line with a
slope
of
7
7
7
passes through the points
(
0
,
5
)
(0,5)
(
0
,
5
)
and
(
−
1
,
p
)
(-1,p)
(
−
1
,
p
)
. What is the value of
p
p
p
?
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Home
Math Problems
Algebra 1
Find a missing coordinate using slope
Full solution
Q.
A line with a slope of
7
7
7
passes through the points
(
0
,
5
)
(0,5)
(
0
,
5
)
and
(
−
1
,
p
)
(-1,p)
(
−
1
,
p
)
. What is the value of
p
p
p
?
Calculate Slope:
Points:
(
0
,
5
)
(0, 5)
(
0
,
5
)
and
(
−
1
,
p
)
(-1, p)
(
−
1
,
p
)
\newline
Slope:
7
7
7
\newline
We will use the slope formula to find the value of
p
p
p
.
\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
7
=
p
−
5
−
1
−
0
7 = \frac{p - 5}{-1 - 0}
7
=
−
1
−
0
p
−
5
Simplify Equation:
7
=
p
−
5
−
1
−
0
7 = \frac{p - 5}{-1 - 0}
7
=
−
1
−
0
p
−
5
\newline
Simplify the denominator.
\newline
7
=
p
−
5
−
1
7 = \frac{p - 5}{-1}
7
=
−
1
p
−
5
Isolate Variable:
7
=
(
p
−
5
)
(
−
1
)
7 = \frac{(p - 5)}{(-1)}
7
=
(
−
1
)
(
p
−
5
)
\newline
Multiply both sides by
−
1
-1
−
1
to isolate
(
p
−
5
)
(p - 5)
(
p
−
5
)
.
\newline
7
×
(
−
1
)
=
(
p
−
5
)
(
−
1
)
×
(
−
1
)
7 \times (-1) = \frac{(p - 5)}{(-1)} \times (-1)
7
×
(
−
1
)
=
(
−
1
)
(
p
−
5
)
×
(
−
1
)
\newline
−
7
=
p
−
5
-7 = p - 5
−
7
=
p
−
5
Solve for
p
p
p
:
−
7
=
p
−
5
-7 = p - 5
−
7
=
p
−
5
\newline
Add
5
5
5
to both sides to solve for
p
p
p
.
\newline
−
7
+
5
=
p
−
5
+
5
-7 + 5 = p - 5 + 5
−
7
+
5
=
p
−
5
+
5
\newline
−
2
=
p
-2 = p
−
2
=
p
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2
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−
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(-2,-6)
(
−
2
,
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6
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and
(
2
,
2
)
(2,2)
(
2
,
2
)
?
\newline
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1
1
1
answer:
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2
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1
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(B)
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2
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(D)
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1
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6
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3
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−
9
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(
3
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)
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1
1
1
answer:
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(A)
−
4
-4
−
4
\newline
(B)
1
4
\frac{1}{4}
4
1
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(C)
4
4
4
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1
4
-\frac{1}{4}
−
4
1
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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:
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(A)
−
1
3
-\frac{1}{3}
−
3
1
\newline
(B)
1
3
\frac{1}{3}
3
1
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(C)
3
3
3
\newline
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3
-3
−
3
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What is the slope of the line through
(
−
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)
−
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
)
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(
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
\newline
(D)
−
4
-4
−
4
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