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Let’s check out your problem:
What is the
slope
of the line?
\newline
−
3
x
+
5
y
=
2
x
+
3
y
-3x+5y=2x+3y
−
3
x
+
5
y
=
2
x
+
3
y
\newline
Choose
1
1
1
answer:
\newline
(A)
−
1
-1
−
1
\newline
(B)
5
2
\frac{5}{2}
2
5
\newline
(C)
−
5
2
-\frac{5}{2}
−
2
5
\newline
(D)
1
1
1
View step-by-step help
Home
Math Problems
Algebra 1
Find a missing coordinate using slope
Full solution
Q.
What is the slope of the line?
\newline
−
3
x
+
5
y
=
2
x
+
3
y
-3x+5y=2x+3y
−
3
x
+
5
y
=
2
x
+
3
y
\newline
Choose
1
1
1
answer:
\newline
(A)
−
1
-1
−
1
\newline
(B)
5
2
\frac{5}{2}
2
5
\newline
(C)
−
5
2
-\frac{5}{2}
−
2
5
\newline
(D)
1
1
1
Combine like terms:
Combine like terms by moving the
x
x
x
terms to one side and the
y
y
y
terms to the other side.
\newline
5
y
−
3
y
=
2
x
+
3
x
5y - 3y = 2x + 3x
5
y
−
3
y
=
2
x
+
3
x
Simplify equation:
Simplify both sides of the equation.
2
y
=
5
x
2y = 5x
2
y
=
5
x
Divide by
2
2
2
:
Divide both sides by
2
2
2
to solve for
y
y
y
.
y
=
(
5
2
)
x
y = \left(\frac{5}{2}\right)x
y
=
(
2
5
)
x
Identify slope:
Now that the equation is in
slope-intercept form
, we can identify the slope as the coefficient of
x
x
x
.
\newline
The slope of the line is
5
2
\frac{5}{2}
2
5
.
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6
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−
2
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6
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1
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answer:
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What is the slope of the line through
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(-9,-6)
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9
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1
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−
4
-4
−
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1
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-\frac{1}{4}
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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
)
?
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1
1
1
answer:
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(A)
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15
4
\frac{15}{4}
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
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1
,
8
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−
1
,
8
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and
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3
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−
4
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3
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4
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1
1
answer:
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1
3
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(B)
1
3
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3
3
3
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3
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What is the slope of the line through
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2
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4
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2
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and
(
3
,
−
3
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(3,-3)
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3
,
−
3
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1
answer: (A)
7
5
\frac{7}{5}
5
7
(B)
−
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
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(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
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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
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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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