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
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
\newline
Answer Attempt
3
3
3
out of
10
10
10
\newline
The two triangles are related by
□
\square
□
, so the triangles
\newline
□
\square
□
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
2
2
2
\newline
A
B
C
A B C
A
BC
\newline
g
(
x
)
g(x)
g
(
x
)
is a linear function with a slope of
3
3
3
and
g
(
10
)
=
26
g(10)=26
g
(
10
)
=
26
. What is the value of
g
(
6
)
g(6)
g
(
6
)
?
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
3
3
3
. How would you write the equation with a slope of
2
/
3
2 / 3
2/3
and a
y
y
y
-intercept of
−
3
-3
−
3
\newline
a)
y
=
3
/
2
x
+
3
y=3 / 2 x+3
y
=
3/2
x
+
3
\newline
b)
y
=
2
/
3
−
3
y=2 / 3-3
y
=
2/3
−
3
\newline
c)
y
=
2
/
3
x
+
3
y=2 / 3 x+3
y
=
2/3
x
+
3
\newline
d)
y
=
2
/
3
x
−
3
y=2 / 3 x-3
y
=
2/3
x
−
3
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
Let
κ
\kappa
κ
be the region enclosed by the
y
y
y
-axis, the line
y
=
4
y=4
y
=
4
and the curve
y
=
x
2
y=x^{2}
y
=
x
2
.
\newline
A solid is generated by rotating
R
R
R
about the line
y
=
4
y=4
y
=
4
.
\newline
What is the volume of the solid?
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
Given the equation
y
=
3
+
4
cos
(
2
x
)
y=3+4\cos(2x)
y
=
3
+
4
cos
(
2
x
)
, give the equation of the sinuso\＂idal axis
Get tutor help
Simplify the using siutable property
[
(
−
17
)
+
25
]
×
4
[(-17)+25] \times 4
[(
−
17
)
+
25
]
×
4
\newline
a
=
3
,
b
=
7
a=3, b=7
a
=
3
,
b
=
7
and
c
=
−
5
c=-5
c
=
−
5
veril ollowing property and identify the turperty.
Get tutor help
Which equation has a constant of proportionality equal to
?
?
?
Choose
1
1
1
answer: Choose
1
1
1
answer:
\newline
(Choice A)
A
A
A
\newline
(Choice B)
B
B
B
\newline
(Choice C)
C
C
C
\newline
(Choice D)
D
D
D
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
Choose an option (Data sufficiency based questions) : In an isosceles triangle
A
B
C
ABC
A
BC
, what is the value of
∠
C
\angle C
∠
C
?
\newline
-Statement
1
1
1
: The measure of
∠
A
\angle A
∠
A
is
4
8
∘
48^\circ
4
8
∘
\newline
-Statement
2
2
2
: The measure of
∠
B
\angle B
∠
B
is
9
6
∘
96^\circ
9
6
∘
\newline
a. Statement (
1
1
1
) ALONE is sufficient, but statement (
2
2
2
) alone is not sufficient.
\newline
b. Statement (
2
2
2
) ALONE is sufficient, but statement (
1
1
1
) alone is not sufficient.
\newline
c. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
\newline
d. EACH statement ALONE is sufficient.
\newline
e. Statements (
1
1
1
) and (
2
2
2
) TOGETHER are not sufficient.
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
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
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
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
−
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
−
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
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 charity organization had to sell tickets to their fundraiser just to cover necessary production costs. They sold each ticket for
.
L
e
t
. Let
.
L
e
t
represent the net profit (in dollars) when they have sold $ tickets. Which of the following information about the graph of the relationship is given? Choose \(1\) answer: Choose \(1\) answer:\(\newline\)(Choice A) Slope and \(y\)-intercept A Slope and \(y\)-intercept\(\newline\)(Choice B) Slope and \(y\)-intercept B Slope and \(y\)-intercept\(\newline\)(Choice C) Slope and a point that is not an intercept C Slope and a point that is not an intercept\(\newline\)(Choice D) \(x\)-intercept and \(y\)-intercept D \(x\)-intercept and \(y\)-intercept\(\newline\)(Choice E) \(x\)-intercept and a point that is not an intercept E \(x\)-intercept and a point that is not an intercept\(\newline\)(Choice F) Two points that are not intercepts F Two points that are not intercepts\(\newline\)Report a problem \(2\) of \(16\)
Get tutor help
Write an equation in point-slope form for each line
\newline
2
2
2
. Slope is
1
1
1
and
(
−
2
,
−
1
)
(-2,-1)
(
−
2
,
−
1
)
is on the line.
Get tutor help
Hiro painted his room. After
3
3
3
hours of painting at a rate of
8
8
8
square meters per hour, he had
28
28
28
square meters left to paint.
\newline
Let
y
y
y
represent the area (in square meters) left to paint after
x
x
x
hours.
\newline
Which of the following information about the graph of the relationship is given?
\newline
Choose
1
1
1
answer:
\newline
(A) Slope and
x
x
x
-intercept
\newline
(B) Slope and
y
y
y
-intercept
\newline
(C) Slope and a point that is not an intercept
\newline
(D)
x
x
x
-intercept and
y
y
y
intercept
\newline
(E)
y
y
y
-intercept and a point that is not an intercept
\newline
(F) Two points that are not intercepts
Get tutor help
A line with slope
−
3
-3
−
3
passes through the point
(
9
,
−
20
)
(9,-20)
(
9
,
−
20
)
. Find an equation of the line. Use
y
y
y
to represent the dependent variable (output) and
x
x
x
to represent the independent variable (input). Your equation can be in any 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 equations are graphed in the
\newline
x
y
xy
x
y
-plane. Which equation's graph will have a slope of
\newline
7
8
\frac{7}{8}
8
7
and a
\newline
y
y
y
-intercept of
3
3
3
?
\newline
Choose
1
1
1
answer:
\newline
(A)
7
x
+
8
y
=
24
7x+8y=24
7
x
+
8
y
=
24
\newline
(B)
7
x
−
8
y
=
−
24
7x-8y=-24
7
x
−
8
y
=
−
24
\newline
(C)
8
x
+
7
y
=
3
8x+7y=3
8
x
+
7
y
=
3
\newline
(D)
7
x
−
8
y
=
3
7x-8y=3
7
x
−
8
y
=
3
Get tutor help
A system of two linear equations with two variables is shown.
\newline
{
14
+
x
=
7
y
x
−
7
y
=
14
\begin{cases} 14 + x = 7y \ x - 7y = 14 \end{cases}
{
14
+
x
=
7
y
x
−
7
y
=
14
\newline
Identify:
\newline
A table for each equation.
\newline
Equations in slope-intercept form.
\newline
y - intercept and slope
\newline
Graphs
\newline
Solution(s)
Get tutor help
The equation
\newline
2
x
−
y
=
8
2x-y=8
2
x
−
y
=
8
is graphed in the
\newline
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
\newline
x
x
x
-intercept is
4
4
4
and its
\newline
y
y
y
-intercept is
−
8
-8
−
8
.
\newline
(B) The graph's
\newline
x
x
x
-intercept is
4
4
4
and its
\newline
y
y
y
-intercept is
8
8
8
.
\newline
(C) The graph has a slope of
x
y
xy
x
y
0
0
0
.
\newline
(D) The graph has a slope of
\newline
x
y
xy
x
y
1
1
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
(
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
(
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 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
(
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
(
−
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
(
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
(
−
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
(
−
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
(
−
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
(
−
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
,
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
1
2
Next
