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Let’s check out your problem:
Find the
slope
of the line that passes through
(
5
,
4
)
(5, 4)
(
5
,
4
)
and
(
2
,
3
)
(2, 3)
(
2
,
3
)
.
\newline
Write your answer in its simplest form.
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Math Problems
Grade 7
Find the slope from two points
Full solution
Q.
Find the slope of the line that passes through
(
5
,
4
)
(5, 4)
(
5
,
4
)
and
(
2
,
3
)
(2, 3)
(
2
,
3
)
.
\newline
Write your answer in its simplest form.
Identify Coordinates:
Identify the coordinates of the two points.
\newline
Point
1
1
1
:
(
5
,
4
)
(5, 4)
(
5
,
4
)
\newline
Point
2
2
2
:
(
2
,
3
)
(2, 3)
(
2
,
3
)
Recall Slope Formula:
Recall the formula for the slope
m
m
m
of a line passing through two points
(
x
1
,
y
1
)
(x_1, y_1)
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
(x_2, y_2)
(
x
2
,
y
2
)
is given by:
\newline
m
=
y
2
−
y
1
x
2
−
x
1
m = \frac{y_2 - y_1}{x_2 - x_1}
m
=
x
2
−
x
1
y
2
−
y
1
Substitute Coordinates:
Substitute the coordinates of the two points into the slope formula.
\newline
m
=
3
−
4
2
−
5
m = \frac{3 - 4}{2 - 5}
m
=
2
−
5
3
−
4
Perform Subtraction:
Perform the subtraction in the numerator and the denominator.
m
=
−
1
−
3
m = \frac{-1}{-3}
m
=
−
3
−
1
Simplify Fraction:
Simplify the
fraction
.
m
=
1
3
m = \frac{1}{3}
m
=
3
1
More problems from Find the slope from two points
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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