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Algebra 1
Point-slope form: write an equation
A line has a slope of
1
7
\frac{1}{7}
7
1
and passes through the point
(
−
5
,
4
)
(-5,4)
(
−
5
,
4
)
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
_
_
_
_
_
=
_
_
_
_
_
(
x
−
_
_
_
_
_
)
y - \_\_\_\_\_ = \_\_\_\_\_(x - \_\_\_\_\_)
y
−
_____
=
_____
(
x
−
_____
)
Get tutor help
A line has a slope of
8
8
8
and passes through the point
(
10
,
6
)
(10,6)
(
10
,
6
)
. What is its equation in point-slope form?
Get tutor help
A line with a slope of
−
1
2
-\frac{1}{2}
−
2
1
passes through the point
(
−
3
,
−
6
)
(-3,-6)
(
−
3
,
−
6
)
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line with a slope of
−
1
-1
−
1
passes through the point
(
6
,
5
)
(6,5)
(
6
,
5
)
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line has a slope of
−
9
-9
−
9
and passes through the point
(
9
,
5
)
(9,5)
(
9
,
5
)
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
_
_
_
_
_
_
=
_
_
_
_
_
_
(
x
−
_
_
_
_
_
_
)
y - \_\_\_\_\_\_ = \_\_\_\_\_\_(x - \_\_\_\_\_\_)
y
−
______
=
______
(
x
−
______
)
Get tutor help
A line with a slope of
−
1
4
-\frac{1}{4}
−
4
1
passes through the point
(
4
,
−
9
)
(4,-9)
(
4
,
−
9
)
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line that includes the point
(
6
,
1
)
(6,1)
(
6
,
1
)
has a slope of
1
10
\frac{1}{10}
10
1
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line that includes the point
(
2
,
6
)
(2,6)
(
2
,
6
)
has a slope of
1
8
\frac{1}{8}
8
1
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line that includes the point
(
3
,
9
)
(3,9)
(
3
,
9
)
has a slope of
1
7
\frac{1}{7}
7
1
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line has a slope of
−
1
10
-\frac{1}{10}
−
10
1
and passes through the point
(
5
,
−
2
)
(5,-2)
(
5
,
−
2
)
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
_
_
_
_
_
=
_
_
_
_
_
(
x
−
_
_
_
_
_
)
y - \_\_\_\_\_ = \_\_\_\_\_(x - \_\_\_\_\_)
y
−
_____
=
_____
(
x
−
_____
)
Get tutor help
There is a line that includes the point
(
5
,
−
3
)
(5,-3)
(
5
,
−
3
)
and has a slope of
1
5
\frac{1}{5}
5
1
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line has a slope of
−
1
7
-\frac{1}{7}
−
7
1
and passes through the point
(
−
1
,
1
)
(-1,1)
(
−
1
,
1
)
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line has a slope of
1
9
\frac{1}{9}
9
1
and passes through the point
(
−
7
,
−
5
)
(-7,-5)
(
−
7
,
−
5
)
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line has a slope of
−
1
3
-\frac{1}{3}
−
3
1
and passes through the point
(
7
,
8
)
(7,8)
(
7
,
8
)
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line with a slope of
−
1
6
-\frac{1}{6}
−
6
1
passes through the point
(
8
,
6
)
(8,6)
(
8
,
6
)
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
_
_
_
_
_
_
=
_
_
_
_
_
_
(
x
−
_
_
_
_
_
_
)
y - \_\_\_\_\_\_ = \_\_\_\_\_\_(x - \_\_\_\_\_\_)
y
−
______
=
______
(
x
−
______
)
Get tutor help
A line that includes the point
(
−
2
,
10
)
(-2,10)
(
−
2
,
10
)
has a slope of
9
9
9
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
There is a line that includes the point
(
9
,
−
8
)
(9,-8)
(
9
,
−
8
)
and has a slope of
1
3
\frac{1}{3}
3
1
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
There is a line that includes the point
(
1
,
9
)
(1,9)
(
1
,
9
)
and has a slope of
1
10
\frac{1}{10}
10
1
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line with a slope of
1
6
\frac{1}{6}
6
1
passes through the point
(
6
,
−
10
)
(6,-10)
(
6
,
−
10
)
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
_
_
_
_
_
=
_
_
_
_
_
(
x
−
_
_
_
_
_
)
y - \_\_\_\_\_ = \_\_\_\_\_(x - \_\_\_\_\_)
y
−
_____
=
_____
(
x
−
_____
)
Get tutor help
There is a line that includes the point
(
9
,
8
)
(9,8)
(
9
,
8
)
and has a slope of
1
3
\frac{1}{3}
3
1
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line that includes the point
(
−
8
,
−
5
)
(-8,-5)
(
−
8
,
−
5
)
has a slope of
−
1
3
-\frac{1}{3}
−
3
1
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
A line that includes the point
(
8
,
3
)
(8,3)
(
8
,
3
)
has a slope of
−
8
-8
−
8
. What is its equation in point-slope form?
\newline
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
\newline
y
−
‾
=
‾
(
x
−
‾
)
y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
y
−
=
(
x
−
)
Get tutor help
Before graphing a rational function, see if you can simplify it by factoring. Rewrite using division and partial fractions if possible. Then find any holes and asymptotes. Use intercepts as needed. What is the domain? Range?
f
(
x
)
=
x
2
−
4
x
+
1
2
x
−
3
f(x) = \frac{x^2 - 4x + 1}{2x-3}
f
(
x
)
=
2
x
−
3
x
2
−
4
x
+
1
Get tutor help
Before graphing a rational function, see if you cans simplify it by factoring. Rewrite using division and partial fractions if possible. Then find any holes and asymptotes. Use intercepts as needed. What is the domain? Range?
f
(
x
)
=
x
2
−
4
x
+
1
2
x
−
3
f(x) = \frac{x^2 - 4x + 1}{2x-3}
f
(
x
)
=
2
x
−
3
x
2
−
4
x
+
1
Get tutor help
A line with a slope of
9
9
9
passes through the point
(
9
,
9
)
(9,9)
(
9
,
9
)
. What is its equation in point-slope form?
Get tutor help
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