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Math Problems
Grade 8
Write a linear equation from a slope and a point
Below is the graph of a trigonometric function. It intersects its midline at
(
π
,
2.75
)
(\pi, 2.75)
(
π
,
2.75
)
, and it has a maximum point at
(
5
4
π
,
6.75
)
\left(\frac{5}{4} \pi, 6.75\right)
(
4
5
π
,
6.75
)
.
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A line passes through point
(
6
,
7
)
(6,7)
(
6
,
7
)
and has a slope of
3
2
\frac{3}{2}
2
3
. 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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A line has a slope of
−
2
-2
−
2
and passes through the point
(
−
3
,
8
)
(-3,8)
(
−
3
,
8
)
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
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A line has a slope of
−
2
-2
−
2
and passes through the point
(
−
2
,
−
3
)
(-2,-3)
(
−
2
,
−
3
)
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
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A line has a slope of
−
7
-7
−
7
and passes through the point
(
2
,
7
)
(2,7)
(
2
,
7
)
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
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A line has a slope of
−
3
-3
−
3
and passes through the point
(
−
7
,
1
)
(-7,1)
(
−
7
,
1
)
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
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Write the equation of a line in slope-intercept form with the given slope that passes through the given point.
\newline
m
=
−
4
5
;
(
6
,
−
2
)
m=-\frac{4}{5} ;(6,-2)
m
=
−
5
4
;
(
6
,
−
2
)
\newline
The equation of the line is
□
\square
□
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
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Write the equation of a line in slope-intercept form with the given slope that passes through the given point.
\newline
m
=
−
5
2
;
(
3
,
−
6
)
m=-\frac{5}{2} ;(3,-6)
m
=
−
2
5
;
(
3
,
−
6
)
\newline
on
35
35
35
\newline
The equation of the line is
□
\square
□
□
\square
□
.
\newline
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
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Assignment
\newline
Interpreting the Value of an Unknou
\newline
Transform the equation to isolate
x
:
a
x
=
b
x
+
1
x: a x=b x+1
x
:
a
x
=
b
x
+
1
. How is the value of
x
x
x
related to the difference of
a
a
a
and
b
b
b
?
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The digits
1
1
1
,
2
2
2
,
3
3
3
,
4
4
4
, and
5
5
5
are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than
500
500
500
.
\newline
The probability that the three-digit number is even and greater than
500
500
500
is
□
\square
□
.
\newline
(Type an integer or a simplified fraction.)
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A line with a slope of
2
2
2
passes through the point
(
4
,
10
)
(4,10)
(
4
,
10
)
. What is its equation in slope-intercept form?
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
\newline
Submit
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Write the equation of the line that passes through the points
(
−
1
,
−
4
)
(-1,-4)
(
−
1
,
−
4
)
and
(
6
,
−
8
)
(6,-8)
(
6
,
−
8
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
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Write the equation of the line that passes through the points
(
−
5
,
−
5
)
(-5,-5)
(
−
5
,
−
5
)
and
(
−
9
,
−
4
)
(-9,-4)
(
−
9
,
−
4
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
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Write the equation of the line that passes through the points
(
−
1
,
9
)
(-1,9)
(
−
1
,
9
)
and
(
5
,
5
)
(5,5)
(
5
,
5
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
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A circle in the
x
y
x y
x
y
-plane has its center on the line
y
=
1
y=1
y
=
1
. If the point
(
2
,
−
3
)
(2,-3)
(
2
,
−
3
)
lies on the circle and the radius is
4
4
4
, which of the following could be the center of the circle?
\newline
Choose
1
1
1
answer:
\newline
(A)
(
2
,
1
)
(2,1)
(
2
,
1
)
\newline
(B)
(
2
,
−
3
)
(2,-3)
(
2
,
−
3
)
\newline
(C)
(
4
,
1
)
(4,1)
(
4
,
1
)
\newline
(D)
(
−
4
,
1
)
(-4,1)
(
−
4
,
1
)
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