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Math Problems
Algebra 2
Write the equation of a linear function
The formula for the area of a triangle is
. Write an expression for the area of a triangle when
h
=
3.
\text{. Write an expression for the area of a triangle when } h = 3.
. Write an expression for the area of a triangle when
h
=
3.
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A circle has radius
10
10
10
units and passes through the point
(
5
,
−
16
)
(5,-16)
(
5
,
−
16
)
. The
x
x
x
-axis is a tangent to the circle. Find the possible equations of the circle.
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A line passes through point
(
−
3
,
3
)
(-3,3)
(
−
3
,
3
)
and has a slope of
4
4
4
. Write an equation in
A
x
+
B
y
=
C
A x+B y=C
A
x
+
B
y
=
C
form for this line. Use integers for
A
,
B
A, B
A
,
B
, and
C
C
C
.
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Find the constant
k
k
k
so that the perpendicular bisector of the line segment with end points
(
k
,
0
)
(k , 0)
(
k
,
0
)
and
(
4
,
6
)
(4 , 6)
(
4
,
6
)
has a slope of
−
3
-3
−
3
.
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A is the point
(
6
,
1
)
(6,1)
(
6
,
1
)
and B is the point
(
2
,
7
)
(2,7)
(
2
,
7
)
. Find the equation of the perpendicular bisector of AB. Give your answer in the form
y
=
m
x
+
c
.
y=mx+c.
y
=
m
x
+
c
.
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What is the equation in standard form of the line that passes through the point
(
6
,
−
1
)
(6,-1)
(
6
,
−
1
)
and is parallel to the line represented by
8
x
+
3
y
=
15
8 x+3 y=15
8
x
+
3
y
=
15
?
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A number divided by
−
9
-9
−
9
, decreased by
18
18
18
, is
−
17
-17
−
17
.
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The graph of a line in the
x
y
xy
x
y
-plane has a slope of and contains the point
(
1
,
−
5
)
(1,-5)
(
1
,
−
5
)
. The graph of a second line passes through the points
(
0
,
4
)
(0,4)
(
0
,
4
)
and
(
12
,
0
)
(12,0)
(
12
,
0
)
. If the two lines intersect at the point
(
a
,
b
)
(a,b)
(
a
,
b
)
what is the value of
a
−
b
a-b
a
−
b
?
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Use point-slope form to write the equation of a line that passes through the point
(
1
,
−
19
)
(1,-19)
(
1
,
−
19
)
with slope
7
5
\frac{7}{5}
5
7
.
\newline
Answer:
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Use point-slope form to write the equation of a line that passes through the point
(
−
1
,
−
4
)
(-1,-4)
(
−
1
,
−
4
)
with slope
7
4
\frac{7}{4}
4
7
.
\newline
Answer:
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Use point-slope form to write the equation of a line that passes through the point
(
−
7
,
−
18
)
(-7,-18)
(
−
7
,
−
18
)
with slope
3
3
3
.
\newline
Answer:
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Use point-slope form to write the equation of a line that passes through the point
(
13
,
11
)
(13,11)
(
13
,
11
)
with slope
3
3
3
.
\newline
Answer:
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Use point-slope form to write the equation of a line that passes through the point
(
10
,
10
)
(10,10)
(
10
,
10
)
with slope
4
4
4
.
\newline
Answer:
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Use point-slope form to write the equation of a line that passes through the point
(
18
,
−
3
)
(18,-3)
(
18
,
−
3
)
with slope
−
2
-2
−
2
.
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
3
,
−
5
)
(-3,-5)
(
−
3
,
−
5
)
and has a slope of
0
0
0
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
3
,
5
)
(3,5)
(
3
,
5
)
and has a slope of
−
1
-1
−
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
6
,
−
6
)
(6,-6)
(
6
,
−
6
)
and has a slope of
−
1
6
-\frac{1}{6}
−
6
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
5
,
7
)
(5,7)
(
5
,
7
)
and has a slope of
−
1
5
-\frac{1}{5}
−
5
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
5
,
0
)
(5,0)
(
5
,
0
)
and has a slope of
−
6
5
-\frac{6}{5}
−
5
6
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
7
,
7
)
(7,7)
(
7
,
7
)
and has an undefined slope?
\newline
Answer:
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What is the equation of the line that passes through the point
(
6
,
4
)
(6,4)
(
6
,
4
)
and has a slope of
0
0
0
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
6
,
−
2
)
(-6,-2)
(
−
6
,
−
2
)
and has a slope of
−
2
3
-\frac{2}{3}
−
3
2
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
6
,
−
6
)
(-6,-6)
(
−
6
,
−
6
)
and has a slope of
1
2
\frac{1}{2}
2
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
2
,
−
4
)
(-2,-4)
(
−
2
,
−
4
)
and has a slope of
1
1
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
7
,
2
)
(7,2)
(
7
,
2
)
and has an undefined slope?
\newline
Answer:
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What is the equation of the line that passes through the point
(
7
,
2
)
(7,2)
(
7
,
2
)
and has a slope of
1
1
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
5
,
−
8
)
(-5,-8)
(
−
5
,
−
8
)
and has an undefined slope?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
2
,
−
5
)
(-2,-5)
(
−
2
,
−
5
)
and has a slope of
5
5
5
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
3
,
−
7
)
(-3,-7)
(
−
3
,
−
7
)
and has a slope of
−
1
3
-\frac{1}{3}
−
3
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
1
,
−
6
)
(-1,-6)
(
−
1
,
−
6
)
and has a slope of
5
5
5
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
6
,
−
4
)
(-6,-4)
(
−
6
,
−
4
)
and has a slope of
2
2
2
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
7
,
7
)
(-7,7)
(
−
7
,
7
)
and has a slope of
−
1
-1
−
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
7
,
−
8
)
(-7,-8)
(
−
7
,
−
8
)
and has an undefined slope?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
7
,
6
)
(-7,6)
(
−
7
,
6
)
and has a slope of
0
0
0
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
5
,
−
5
)
(5,-5)
(
5
,
−
5
)
and has a slope of
−
3
5
-\frac{3}{5}
−
5
3
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
4
,
−
5
)
(4,-5)
(
4
,
−
5
)
and has a slope of
−
1
4
-\frac{1}{4}
−
4
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
4
,
2
)
(4,2)
(
4
,
2
)
and has a slope of
2
2
2
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
5
,
7
)
(-5,7)
(
−
5
,
7
)
and has a slope of
0
0
0
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
6
,
3
)
(6,3)
(
6
,
3
)
and has a slope of
3
2
\frac{3}{2}
2
3
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
4
,
0
)
(4,0)
(
4
,
0
)
and has a slope of
−
1
2
-\frac{1}{2}
−
2
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
2
,
5
)
(2,5)
(
2
,
5
)
and has a slope of
3
3
3
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
6
,
1
)
(-6,1)
(
−
6
,
1
)
and has a slope of
−
5
6
-\frac{5}{6}
−
6
5
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
6
,
5
)
(-6,5)
(
−
6
,
5
)
and has a slope of
−
5
3
-\frac{5}{3}
−
3
5
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
6
,
−
4
)
(-6,-4)
(
−
6
,
−
4
)
and has a slope of
4
3
\frac{4}{3}
3
4
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
4
,
−
1
)
(4,-1)
(
4
,
−
1
)
and has a slope of
5
4
\frac{5}{4}
4
5
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
1
,
3
)
(1,3)
(
1
,
3
)
and has a slope of
−
2
-2
−
2
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
2
,
5
)
(2,5)
(
2
,
5
)
and has a slope of
4
4
4
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
3
,
7
)
(-3,7)
(
−
3
,
7
)
and has a slope of
1
3
\frac{1}{3}
3
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
6
,
−
2
)
(-6,-2)
(
−
6
,
−
2
)
and has a slope of
−
1
2
-\frac{1}{2}
−
2
1
?
\newline
Answer:
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What is the equation of the line that passes through the point
(
−
6
,
3
)
(-6,3)
(
−
6
,
3
)
and has a slope of
−
1
2
-\frac{1}{2}
−
2
1
?
\newline
Answer:
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