Answers
Answer (assuming it is allowed to be written in slope-intercept form):
[tex]y = -\frac{2}{3} x + 1[/tex]
Step-by-step explanation:
When knowing a line's y-intercept and its slope, you can write its equation using slope-intercept form, or [tex]y = mx + b[/tex].
1) First, find the slope of the line. Read the graph and look at the two points marked on the line - they are (0,1) and (3,-1). Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] , substitute the x and y values of those points, and solve:
[tex]\frac{(-1)-(1)}{(3)-(0)} \\= \frac{-1-1}{3-0} \\= \frac{-2}{3}[/tex]
Thus, the line's slope is [tex]-\frac{2}{3}[/tex].
2) Now, use the slope-intercept formula, [tex]y = mx + b[/tex], to write an equation. Substitute the [tex]m[/tex] and [tex]b[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{2}{3}[/tex] in its place. The [tex]b[/tex] represents the y-value of the y-intercept, or the point at which the line crosses the y-axis. Looking at the graph, we can see that the line intersects the y-axis at (0,1). Thus, substitute 1 for [tex]b[/tex]. This gives the following equation and answer:
[tex]y = -\frac{2}{3} x + 1[/tex]
Related Questions
Jennifer and Chelsea each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Jennifer spent $146 on 6 rose bushes and 14 geraniums. Chelsea spent $57 on 1 rose bush and 7 geraniums. What is the cost of one rose bush and the cost of one geranium?
Answers
Answer:
$15.00
Step-by-step explanation:
Suppose 1 rose bush costs r dollars,
Suppose 1 geranium costs g dollars.
Here are 2 equations:
1)6r+14g=146
3r+7g=73
2)r+7g=57
r=57-7g
Put 2) in 1)
3(57-7g)+7g=73
171-21g+7g=73
98=14g
g=7
r=8
7+8=$15.00
Hope I helped!
(x + 1)^7
Use Pascal's Triangle and Binomial.Theorem
Answers
Answer:
x⁷+7x⁶+21x⁵+35x⁴+35x³+21x²+7x+1
Step-by-step explanation:
(x + 1)⁷: Pascal's Triangle for (a+b)⁷
a₇+7a⁶b+21a⁵b²+35a⁴b³+... + 7a¹b⁶ + b⁷
x⁷+7x⁶+21x⁵+35x⁴+35x³+21x²+7x+1
GIVING BRAINLIEST!!! please help
Match the graphs to the correct answer
Answers
Answer:
If i answer you have to give me brainliest and go to photomath.com it will tell you the answer
Step-by-step explanation:
Directions:
1. Determine which type of angles are shown.
2. Then find the measure of the missing angles.
Answers
2. obtuse angle is shown, 29° is missing.
3. acute angle is shown, 65° is missing.
4. acute angle is shown, 40° is missing.
5. acute angle is shown, 42° is missing.
6. acute angle is shown, 100° is missing.
7 an obtuse angle and a acute angle are shown, 54° (for number 1) and 126° (for number 2) are missing.
8. an obtuse and a acute angle are shown, 45° (for 1) and 135° (for 2) are missing.
what is the common difference of the arithmetic sequence 5,8,11,14?
Answers
Answer:
3
Step-by-step explanation:
8-5= 3
11-8= 3
14-11= 3
Answer:
common difference = difference between two consecutive number in a given series
hence,
8-5=3
common difference =3
8 gallons of soil are needed to fill 6 large plant pots. How many gallons are needed to fill 8 pots? Give your answer as a mixed number.
Answers
Answer:
9.5 gallons of soil.
Step-by-step explanation:
8 divided by 6 is .75, meaning each pot has .75 gallons of soil.
8 plus .75 plus .75 equals 9.5 gallons of soil.
Which student below wrote an addition statement with the greatest sum,
and what is the sum?
Answers
What part of 18 is 1
Answers
Answer:
1 / 18 = 5.555555555556%
Step-by-step explanation:
hope it helps
The [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.
Fraction:Let us consider that x part of 18 is equal to 1.
So that,
[tex]x*18=1\\\\x=\frac{1}{18}[/tex]
Therefore, [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.
Learn more about the fraction here:
https://brainly.com/question/78672
PLEASE HELP ILL GIVE BRAINLESS IM GOING TO FAIL
Answers
AD= 23
DC= 23
AC= 46
The median means both sides of the line AC are equal.
Therefore: x+ 3 = 2x-17
and we can solve this for x
Subtract x from both sides
x-x = 2x-x -17
3 = x -17
Add 17 to both sides
3 +17 = x -17+17
20 = x
The length of AD is x + 3, replace x with 20:
20 + 3 = 23
The length of DC is the same as AD (because they’re separated by the median) so DC= 46
AC is the length of AD + DC,
23+23= 46.
AC= 46
Find the slope!!
Quickly please
Answers
since the line goes up 2 and over 1
the equation to find slope is
(y2-y1)/(x2-x1)
(3-1)/(1-0) = 2/1 = 2
Which expression is equivalent to 4(3+5) - 3•9^2
Answers
Answer:
se eu não me engano é 11.962962963 por ai agora pega esse numero e faz como expressão equivalente ok
Step-by-step explanation:
espero ter ajudado.
Solve the equation:
-35 = -30 - b
Plzzzzz help
Answers
-35=-30-b
+30 +30
-5=-b
—. —
-1. -1
5=b
The following table shows the number of students in a class who like movies and/or music: Like Movies Do Not Like Movies Total Like Music 36 ? 56 Do Not Like Music 15 4 19 Total 51 24 75 What is the missing number in the table? (1 point) 12 20 32 52
Answers
Answer:20
Step-by-step explanation:
I got it right on my test
Answer:
20
Step-by-step explanation:
just took the test :)
look (this is what 2 + 2 equals)
Answers
5 (2 cups of vinegar+ 2 cups of baking soda = 5 cups of fizzy mess)
or 4
Laura bought a notebook and a pencil for $4.50. The notebook cost twice the amount of the pencil. On your worksheet, solve the question and write your answer below. . How much was the pencil and how much was the notebook
Answers
Answer:
n+p=4.50
n=2p
2p+p=4.5
2p=4.5
p=$1.5
n=$3
Step-by-step explanation:
Answer:
Pencil: $1.50
Notebook: $3
Step-by-step explanation:
n = cost of notebook
p = cost of pencil
n + p = 4.5
n = 2p
substitute n into the first equation
2p + p = 4.5
3p = 4.5
p = 1.5
n = 2p
n = 2(1.5)
n = 3
What is the value of X in the diagram below round to the nearest hundredths
Answers
11/9 = x/18
9x = 198
x = 22
One number is seven more than a second number. Six times the first is 10 less than 2 times
the second. Find the numbers.
The value of the first number is ___.
The value of the second number is ___.
Answers
Answer:
Step-by-step explanation:
The first number is
−
13
and the second number is
−
6
Explanation:
Let's let the first number be
n
and the second number be called
m
.
Then, from the first sentence we can write:
n
=
m
−
7
and from the second sentence we can write:
2
n
=
6
m
+
10
Substitute
m
−
7
for
n
in the second equation and solve for
m
:
2
(
m
−
7
)
=
6
m
+
10
2
m
−
14
=
6
m
+
10
2
m
−
14
−
2
m
−
10
=
6
m
+
10
−
2
m
−
10
−
14
−
10
=
6
m
−
2
m
−
24
=
4
m
−
24
4
=
4
m
4
m
=
−
6
Now substitute
−
6
for
m
in the first equation and calculate
n
:
n
=
−
6
−
7
n
=
−
13
2x - 4 < 12
???????????
Answers
Answer: x < 8
Reason: I did some math
Answer:
x<8
Step-by-step explanation:
Give the angle measure represented by 2 rotations clockwise.
a. -720°
c. -360°
d. 360°
b. 720°
Answers
Answer: B: 720
Step-by-step explanation: One turn is 360
Choose the numerical expression that matches the phrase.
Multiply 4 and 7, then add 3.
3 x 4 +7
Α.
B. 3 x 7 +4
C.4 x 7 + 3
D. 7 x 3 + 4
Answers
Answer:
Multiple 4 and 7, then add 3 is equivalent to
C. 4 x 7 + 3
Answer:
C. 4 x 7 + 3
Step-by-step explanation:
→ Multiply 4 and 7
4 × 7
→ Then add 3
4 × 7 + 3
The room shown below right is 14 ft by 10 ft. Find the dimensions of each piece of furniture to the nearest tenth . 16))
Answers
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Please find the image file of the question:
The dresser dimension is:
[tex]L= 6.0 \ feet\\\\ W= 3.0 \ feet[/tex]
The bed dimension is:
[tex]L = 7.1\ feet\\\\W = 5.7\ feet[/tex]
The table dimension is:
[tex]L = 2.8 \ feet\\\\W= 2.8 \ feet[/tex]
Triangle QRS is isosceles with m(∠R) = 107°. What is m(∠Q)
Answers
Answer:
36.5 degrees
Step-by-step explanation:
An isosceles triangle is a triangle in which two angles are equal
The sum of angles in the triangle is 180°
If one of the angles is 107°, the sum of the other two angles is (180° - 107°) 73°
The size of each of the two angles is 73/2 = 36.5°
median of 410, 400, and 375
Answers
Answer:
400
Step-by-step explanation:
375 , 400, 410 (arrange in asc or des)
median = (middle num) = 400
Hope its right!
Answer:
400
Step-by-step explanation:
There are 12 trees on the Smith’s property. The Smith’s plant some trees, and now there are 21 trees. How many trees t do the Smith’s plant?
Answers
Answer:
The Smith's planted 9 trees
Step-by-step explanation:
21-12=9
Because the Smith's ending amount is 21, and their beginning amount is 12 you subtract 21-12=9
Answer:
Well, there can be two answers. One of them can be 9, since they planted 9 MORE trees on top of the 12 already there. (21-12=9) The other answer can be 33 if you count all the trees they planted. (12+21=33)
Step-by-step explanation:
what is the mean of this? 48, 12, 35, 57, 42, 15, 74, 29.
ILL GIVE U BRAINLYEST
Answers
answer:
48 + 12 + 35 + 57 + 42 + 15 + 74 + 29 = 312
divide by number of numbers,
312 / 8 = 39
the mean is 39.
if correct, please mark the brainliest :)
Answer:
the mean is 39.
Step-by-step explanation:
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answers
Answer:
⦣ACD = 90º
Step-by-step explanation:
⦣ACD + ⦣BCD = 180º
⦣BCD = 90º
⦣ACD + 90º = 180º subtract 90º from both sides
⦣ACD = 90º
Help me out please I’ll mark brainliest
Answers
I believe the answer is ASA
12 cos theta minus 16 sin theta is equal to zero find 2 sin theta + cos theta
Answers
Answer:
2sinθ + cosθ = 2
Step-by-step explanation:
12 cos θ - 16 sinθ = 0
=> 3 cos θ -4 sin θ = 0
=> tanθ = 3/4
let P = 3x
B = 4x
=> H= 5x
=> sinθ = P/H = 3/5
cosθ = B/H = 4/5
2sinθ + cosθ
= 2× 3/5 + 4/5
= 6/5+4/5
= 10/5
= 2
=> 2sinθ + cosθ = 2
Answer:
2sinθ + cosθ = 2
Step-by-step explanation:
12 cos θ - 16 sinθ = 0
=> 3 cos θ -4 sin θ = 0
=> tanθ = 3/4
let P = 3x
B = 4x
=> H= 5x
=> sinθ = P/H = 3/5
cosθ = B/H = 4/5
2sinθ + cosθ
= 2× 3/5 + 4/5
= 6/5+4/5
= 10/5
= 2
Look at the information below, decide what type of substance the paint is.
ANSWER NEEDED ASAP
Answers
Answer:
A mixture?
Step-by-step explanation:
Simplify: 5d + 3 + 2h + 1 + 3h + 2d
Answers
dhehshshep
Answer: 7d+5h+4
Step-by-step explanation: Combine Like Terms: 5d+3+2h+1+3h+2d
=(5d+2d)+(2h+3h)+(3+1)=7d+5h+4
Final Answer: 7d+5h+4
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D