Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Grade 8
Write a linear equation from a slope and y-intercept
Which of the following is an example of a function whose graph in the
x
y
x y
x
y
-plane has no
x
x
x
-intercepts?
\newline
(A) A linear function whose rate of change is not zero
\newline
B) A quadratic function with realzeros
\newline
C) A quadratic function with no real zeros
\newline
D) A cubic polynomial with at least one real zefo
Get tutor help
Determine the values of
x
x
x
for which
\newline
64
cosh
4
x
−
64
cosh
2
x
−
9
=
0
64\cosh^{4}x-64\cosh^{2}x-9=0
64
cosh
4
x
−
64
cosh
2
x
−
9
=
0
\newline
Give your answers in the form
q
ln
2
q \ln 2
q
ln
2
where
q
q
q
is rational and in simplest form.
Get tutor help
An orange is shot up into the air with a catapult. The function
h
h
h
given by
h
(
t
)
=
15
+
60
t
−
16
t
2
h(t)=15+60t-16t^2
h
(
t
)
=
15
+
60
t
−
16
t
2
models the orange's height, in feet,
t
t
t
seconds after it was launched. Select all the true statements about the situation.
Get tutor help
A line has a slope of
2
2
2
and a
y
y
y
-intercept of
4
4
4
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Get tutor help
A line has a slope of
1
1
1
and a
y
y
y
-intercept of
−
6
-6
−
6
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Get tutor help
Function
A
A
A
is a linear function with an
x
x
x
-intercept of
−
3
-3
−
3
and a
y
y
y
-intercept of
−
9
-9
−
9
. Which of the following functions has the same slope as Function
A
A
A
?
\newline
Choices:
\newline
A
)
A)
A
)
y
=
9
x
+
3
y = 9x + 3
y
=
9
x
+
3
\newline
B
)
B)
B
)
y
=
−
3
x
−
9
y = -3x - 9
y
=
−
3
x
−
9
\newline
C
)
C)
C
)
y
=
3
x
+
9
y = 3x + 9
y
=
3
x
+
9
\newline
D
)
D)
D
)
y
=
−
9
x
−
3
y = -9x - 3
y
=
−
9
x
−
3
Get tutor help
Function
A
A
A
is a linear function.
\newline
Which of the following functions has the same
y
y
y
-intercept as Function
A
A
A
?
\newline
Choices:
\newline
(A)
y
=
−
5
x
−
4
y = -5x - 4
y
=
−
5
x
−
4
\newline
(B)
y
=
5
x
+
4
y = 5x + 4
y
=
5
x
+
4
\newline
(C)
y
=
−
4
x
−
5
y = -4x - 5
y
=
−
4
x
−
5
\newline
(D)
y
=
4
x
+
5
y = 4x + 5
y
=
4
x
+
5
Get tutor help
The equation
\newline
(
y
−
2
)
=
1
5
(
x
+
5
)
(y-2)=\frac{1}{5}(x+5)
(
y
−
2
)
=
5
1
(
x
+
5
)
is graphed in the
x
y
xy
x
y
-plane. Which of the statements below is true of its graph?
\newline
Choose
1
1
1
answer:
\newline
(A) The graph has a slope of
−
5
-5
−
5
and a
y
y
y
-intercept of
5
5
5
.
\newline
(B) The graph has a slope of
−
5
-5
−
5
and passes through the point
(
2
,
−
5
)
(2,-5)
(
2
,
−
5
)
.
\newline
(C) The graph has a slope of
1
5
\frac{1}{5}
5
1
and passes through the point
(
−
5
,
2
)
(-5,2)
(
−
5
,
2
)
.
\newline
(D) The graph has a slope of
1
5
\frac{1}{5}
5
1
and a
y
y
y
-intercept of
5
5
5
.
Get tutor help
The line represented by the equation
−
x
3.5
+
y
12.5
=
1
-\frac{x}{3.5}+\frac{y}{12.5}=1
−
3.5
x
+
12.5
y
=
1
is graphed in the
x
y
x y
x
y
-plane. Which of the following statements correctly describes the graph of the line?
\newline
Choose
1
1
1
answer:
\newline
(A) The line has a slope of
12
12
12
.
5
5
5
.
\newline
(B) The line goes through the point
(
3.5
,
12.5
)
(3.5,12.5)
(
3.5
,
12.5
)
.
\newline
(C) The line has a positive
x
x
x
-intercept and a negative
y
y
y
-intercept.
\newline
(D) The line has a negative
x
x
x
-intercept and a positive
y
y
y
-intercept.
Get tutor help
Write an equation that describes the following relationship:
y
y
y
varies jointly as
x
x
x
and the square root of
z
z
z
, and when
x
=
1
x=1
x
=
1
and
z
=
9
z=9
z
=
9
, then
y
=
15
y=15
y
=
15
.
Get tutor help
A line has a slope of
−
3
-3
−
3
and a
y
y
y
-intercept of
6
6
6
. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
Get tutor help
A line has a slope of
1
1
1
and a
y
y
y
-intercept of
7
7
7
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Get tutor help
A line has a slope of
3
3
3
and a
y
y
y
-intercept of
−
4
-4
−
4
. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
Get tutor help
A line has a slope of
7
7
7
and a
y
y
y
-intercept of
−
1
-1
−
1
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Get tutor help
A line has a slope of
7
7
7
and a
y
y
y
-intercept of
−
6
-6
−
6
. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
Get tutor help
A line has a slope of
−
3
-3
−
3
and a
y
y
y
-intercept of
12
12
12
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Get tutor help
A line has a slope of
6
6
6
and a
y
y
y
-intercept of
−
5
-5
−
5
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Get tutor help
A line has a slope of
−
1
-1
−
1
and a
y
y
y
-intercept of
−
20
-20
−
20
. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
Get tutor help
Find the equation of straight line parallel to
y
y
y
axis and at a distance of
2
2
2
units.
Get tutor help
The equation
2
x
−
y
=
8
2x-y=8
2
x
−
y
=
8
is graphed in the
x
y
xy
x
y
-plane. Which of the following is a true statement about the graph?
\newline
Choose
1
1
1
answer:
\newline
(A) The graph's
x
x
x
-intercept is
4
4
4
and its
y
y
y
-intercept is
−
8
-8
−
8
.
\newline
(B) The graph's
x
x
x
-intercept is
4
4
4
and its
y
y
y
-intercept is
8
8
8
.
\newline
(C) The graph has a slope of
−
2
-2
−
2
.
\newline
(D) The graph has a slope of
1
2
\frac{1}{2}
2
1
.
Get tutor help
The equation
5
x
+
10
y
=
30
5 x+10 y=30
5
x
+
10
y
=
30
is graphed in the
x
y
x y
x
y
-plane. Which of the statements below is true of its graph?
\newline
Choose
1
1
1
answer:
\newline
(A) The graph's
x
x
x
-intercept is
3
3
3
and its
y
y
y
-intercept is
6
6
6
.
\newline
(B) The graph has a slope of
1
2
\frac{1}{2}
2
1
.
\newline
(C) The graph has a slope of
−
2
1
-\frac{2}{1}
−
1
2
.
\newline
(D) The graph's
x
x
x
-intercept is
6
6
6
and its
y
y
y
-intercept is
3
3
3
.
Get tutor help
−
4
+
b
x
=
2
x
+
3
(
x
+
1
)
-4 + bx = 2x + 3(x + 1)
−
4
+
b
x
=
2
x
+
3
(
x
+
1
)
In the equation shown,
b
b
b
is a constant. For what value of
b
b
b
does the equation have no solutions?
Get tutor help
The equation
6
−
2
y
=
x
6-2 y=x
6
−
2
y
=
x
is graphed in the
x
y
x y
x
y
-plane. Which of the following is a true statement about the graph?
\newline
Choose
1
1
1
answer:
\newline
(A) The graph's
x
x
x
-intercept is
6
6
6
and its
y
y
y
-intercept is
−
2
-2
−
2
.
\newline
B The graph's
x
x
x
-intercept is
6
6
6
and its
y
y
y
-intercept is
2
2
2
.
\newline
(C) The graph has a slope of
−
2
-2
−
2
.
\newline
(D) The graph has a slope of
−
1
2
-\frac{1}{2}
−
2
1
.
Get tutor help
a
x
+
b
y
=
1
a
x
−
b
y
=
1
y
=
c
\begin{array}{l} a x+b y=1 \\ a x-b y=1 \\ y=c \end{array}
a
x
+
b
y
=
1
a
x
−
b
y
=
1
y
=
c
\newline
In the system of three linear equations above,
a
,
b
a, b
a
,
b
and
c
c
c
are constants and
b
≠
0
b \neq 0
b
=
0
. If the system has exactly one solution, what is the value of
c
c
c
in terms of
a
a
a
and
b
b
b
?
Get tutor help
−
12
x
2
−
t
x
+
t
=
0
-12 x^{2}-t x+t=0
−
12
x
2
−
t
x
+
t
=
0
\newline
In the given equation,
t
t
t
is a nonzero constant. If the equation has only one real solution,
s
s
s
, what is the value of
s
s
s
?
Get tutor help
Write the equation of the line that passes through the points
(
−
4
,
9
)
(-4,9)
(
−
4
,
9
)
and
(
2
,
−
8
)
(2,-8)
(
2
,
−
8
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write the equation of the line that passes through the points
(
6
,
6
)
(6,6)
(
6
,
6
)
and
(
7
,
−
5
)
(7,-5)
(
7
,
−
5
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write the equation of the line that passes through the points
(
4
,
6
)
(4,6)
(
4
,
6
)
and
(
2
,
7
)
(2,7)
(
2
,
7
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write the equation of the line that passes through the points
(
6
,
6
)
(6,6)
(
6
,
6
)
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:
Get tutor help
Write the equation of the line that passes through the points
(
−
3
,
6
)
(-3,6)
(
−
3
,
6
)
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:
Get tutor help
Write the equation of the line that passes through the points
(
−
1
,
6
)
(-1,6)
(
−
1
,
6
)
and
(
−
3
,
−
6
)
(-3,-6)
(
−
3
,
−
6
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write the equation of the line that passes through the points
(
−
6
,
9
)
(-6,9)
(
−
6
,
9
)
and
(
−
2
,
9
)
(-2,9)
(
−
2
,
9
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write the equation of the line that passes through the points
(
−
1
,
−
8
)
(-1,-8)
(
−
1
,
−
8
)
and
(
−
1
,
8
)
(-1,8)
(
−
1
,
8
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write the equation of the line that passes through the points
(
−
3
,
1
)
(-3,1)
(
−
3
,
1
)
and
(
−
3
,
2
)
(-3,2)
(
−
3
,
2
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write the equation of the line that passes through the points
(
8
,
0
)
(8,0)
(
8
,
0
)
and
(
−
3
,
8
)
(-3,8)
(
−
3
,
8
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write the equation of the line that passes through the points
(
−
7
,
−
8
)
(-7,-8)
(
−
7
,
−
8
)
and
(
1
,
−
7
)
(1,-7)
(
1
,
−
7
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write the equation of the line that passes through the points
(
2
,
6
)
(2,6)
(
2
,
6
)
and
(
5
,
6
)
(5,6)
(
5
,
6
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write the equation of the line that passes through the points
(
−
3
,
1
)
(-3,1)
(
−
3
,
1
)
and
(
0
,
−
3
)
(0,-3)
(
0
,
−
3
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write the equation of the line that passes through the points
(
0
,
−
8
)
(0,-8)
(
0
,
−
8
)
and
(
−
4
,
−
8
)
(-4,-8)
(
−
4
,
−
8
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
Get tutor help
Write a slope-intercept equation for a line with the given characteristics.
\newline
m
=
−
8.5
m=-8.5
m
=
−
8.5
,
y
y
y
-intercept
(
0
,
4
5
)
(0,\frac{4}{5})
(
0
,
5
4
)
\newline
The slope-intercept equation for a line with the given characteristics is
\newline
□
\square
□
.
Get tutor help
The functions
g
(
x
)
=
2
(
x
−
5
)
(
x
−
3
)
g(x)=2(x-5)(x-3)
g
(
x
)
=
2
(
x
−
5
)
(
x
−
3
)
and
h
(
x
)
=
2
(
x
+
5
)
(
x
+
3
)
h(x)=2(x+5)(x+3)
h
(
x
)
=
2
(
x
+
5
)
(
x
+
3
)
are graphed in the
x
y
x y
x
y
-plane. Which of the following is a true statement?
\newline
Choose
1
1
1
answer:
\newline
(A) The functions have the same
y
y
y
-intercept.
\newline
(B) The functions have the same
x
x
x
-intercepts.
\newline
(C) The functions have the same axis of symmetry.
\newline
(D) The functions have the same vertex.
Get tutor help
Functions
f
f
f
and
g
g
g
are graphed in the
x
y
x y
x
y
-plane, where
f
(
x
)
=
3
(
2
)
x
f(x)=3(2)^{x}
f
(
x
)
=
3
(
2
)
x
and
g
(
x
)
=
3
(
2
)
x
−
6
g(x)=3(2)^{x}-6
g
(
x
)
=
3
(
2
)
x
−
6
. If
(
0
,
a
)
(0, a)
(
0
,
a
)
is the
y
y
y
-intercept of function
f
f
f
and
(
0
,
b
)
(0, b)
(
0
,
b
)
is the
y
y
y
-intercept of function
g
g
g
, then what is the value of
a
−
b
a-b
a
−
b
?
Get tutor help
