Which equation represents a line that has a slope of 1/3 and passes through point (-2,1)?

Answers

Answer 1

Answer:

The equation would be y - 1 = 1/3(x + 2)

Step-by-step explanation:

In order to find this, we simply plug the values we have into point slope form.

y - y1 = m(x - x1)

y - 1 = 1/3(x - -2)

y - 1 = 1/3(x + 2)

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Slope = m = 1/3

(-2 , 1)

[tex]y - y_{1}= m(x - x_{1})\\y - 1 = \dfrac{1}{3}(x -[-2] )\\\\y - 1 = \dfrac{1}{3}(x + 2)\\\\y - 1 =\dfrac{1}{3}x + \dfrac{1}{3}*2\\\\y=\dfrac{1}{3}x+\dfrac{2}{3}+1\\\\y=\dfrac{1}{3}x +\dfrac{2}{3}+\dfrac{3}{3}\\\\y=\dfrac{1}{3}x +\dfrac{5}{3}[/tex]


Related Questions

There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first person chosen is a boy, what is the probability that the second chosen is also a boy? Answer in fraction

Answers

Using the probability concept, it is found that there is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, supposing that the first person chosen is a boy:

There will be 27 students.Of those, 12 are going to be boys.

Hence:

[tex]p = \frac{12}{27} = \frac{4}{9}[/tex]

There is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.

To learn more about the probability concept, you can take a look at https://brainly.com/question/25967684

Colin invests £1200 into his bank account. He receives 3% per year simple interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

1440

Step-by-step explanation:

PLS HELP I GOTTA TURN THIS INNN ​

Answers

Answer:

Lauren

Step-by-step explanation:

1/2 is Erin

3/4 is Lauren

Answer:

1/2 for Eric and 6/8 for lauren

Eric: 1/2 = 4/8

Lauren: 6/8

Lauren was more succesful

Step-by-step explanation:

I hope you can see my question, if you have a phone look at the top for my question. Thank you.

Answers

Answer: 10 7/8

Step-by-step explanation: 11 2/8 - 3/8 = 10 7/8

{x: x belongs to N and (x-1)(x-2) = 0}, finite set or infinite set?

Answers

Answer: Finite Set

Explanation:

We have a set of x values such that (x-1)(x-2) = 0. Breaking that down leads to either x-1 = 0 or x-2 = 0 through the zero product property. Solving each of those equations gets us x = 1 and x = 2 as the two items in this set.

So the original set your teacher gave you turns into the roster form {1,2}. There are two items in this set and we can see it's a finite set since it does not go on forever. Note that everything in this set is a natural number.

PLease answer ASAP BRAINLEST!!1

Answers

Answer:

-7(2x-3y+.7)

Step-by-step explanation:

-14x+21y-4.9

Rewrite in terms of -7

-7 * 2x -7*-3y-7 *.7

Factor out -7

-7(2x-3y+.7)

please help asap!!
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Answers

Answer:

a. y = 2x + 1

b. 20

Step-by-step explanation:

a. With each increasing figure, two more blocks are added on. Through this, we can determine the rule:

y = 2x + 1

y being the total number of blocks in a figure

x being the number of the figure.

_________

b. To figure out which figure number has 41 squares, we can set the equation we found equal to 41.

41 = 2x + 1

40 = 2x

20 = x

So figure 20 will have 41 squares.


Factor the following expression completely.

16x^5-x^3

A. 1343 1) (4x + 1)
B. 13(41 – 1)
C. (413 – 22)
D. 13(16x2 – 0)

Answers

X^(16x^2-1) factor the expression

The answer to the graph

X^3(4x-1)(4x+1)

PLZZZ HELP X IS 44 .............

Answers

Answer:

y = 136

Step-by-step explanation:

the line is 180 degrees so

180-44 = 136 degrees

Answer:

y=136

Step-by-step explanation:

x=44 y=136

44+136=180

Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $12. If Hiroto buys e-books and y paperback books which of the following equations best models the situation?

Answers

The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68

The following information can be gotten from the question:

Total amount spent on e-books and paperback = $68

Cost of e-book = $5 each.

Cost of paperback = $12 each

Number of e-books = x

Number of paperbacks = y

Therefore, the equation that can be used to model the situation regarding the e-books and paperback will be:

= 5(x) + 12(y) = 68

5x + 12y = 68

The equation will be 5x + 12y = 68

Read related link on:

https://brainly.com/question/25212173

Add 2 1/2 + (-3 1/3). Write your answer as a mixed number in simplest form.​

Answers

Answer:

Exact Form: -⅚

Decimal Form: -0.83 repeating

what is the equivalent value 3/2×(−2)

Answers

Answer:

= -3

multiplying and dividing fractions

Answer:

-3

Step-by-step explanation:

3/2^(-2)=-3

if M is a multiple of 3 and 7 then it is a multiple of 21

Answers

Answer:

It will be true , it is a multiple of 21

Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept -3. Then graph the line.

Answers

Answer:

y = 4/3x -3

Step-by-step explanation:

A quality manager for a publishing company checks 3 of every 250 books printed for typos. At that rate, how many of every 15,000 books will be checked for typos?

Answers

Answer:

Print between 25 - 2,000 books. Your price per book will go down as your quantity increases.

Step-by-step explanation:

What is the factored form of this expression?

4t2 − 27t + 18

A.
(4t − 18)(t − 1)
B.
(4t − 3)(t − 6)
C.
(2t − 9)(2t − 2)
D.
(2t − 6)(2t − 3)

Answers

Answer:

B

Step-by-step explanation:

Answer:

Have a great rest of your day :)

Step-by-step explanation:

Bath and Body Works is having a special promotion on fall candles. Every 12th guest is receiving a free pumpkin scented candle and every 36th guest is receiving a free Carmel waffle scented candle. Which number of guests will receive both the pumpkin and caramel waffle scented candles?

Answers

Answer:

i d k but now i want candles from bath and body works

Step-by-step explanation:

36/12 = 3
36th and you can go on from that But you have to go through 12 three times to get to 36 so be like yeah

Express each number in standard form.
a) 1 X 10^3 + 0 X 10^2 + 4 X 10 + 9 X 1
b) 4 X 10^4 + 3 X 10^3 + 8 X 10^2 + 7 X 10 + 0 X 1
c) 8 X 10^6 + 1 X 10^5 + 5 X 1

Answers

a) 1,000 + 0 + 40 + 9

b) 40,000 + 3,000 + 800 + 70 + 0

c) 8,000,000 + 100,000 + 5

please someone explain to me how did we multiply the denominator in this

Answers

ok so what you wanna do is use multiplication

Find range of the real function
[tex]f = \left \{ \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R \right \}[/tex]
from R into R​.

Answers

Step-by-step explanation:

[tex] \large\underline{\sf{Solution-}}[/tex]

Given function is

[tex]\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R[/tex]

To find the range of the function f, Let assume that

[tex]\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} [/tex]

[tex]\rm \longmapsto\: {yx}^{2} + y = {x}^{2} [/tex]

[tex]\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y[/tex]

[tex]\rm \longmapsto\: - {x}^{2} (1 - y) = - y[/tex]

[tex]\rm \longmapsto\: {x}^{2} (1 - y) = y[/tex]

[tex]\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} [/tex]

[tex]\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } [/tex]

For x to be defined,

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0[/tex]

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1[/tex]

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1[/tex]

[tex]\bf\implies \:y \: \in \: [0, \: 1)[/tex]

Hence,

[tex]\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)[/tex]

you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?

Answers

Answer:

im not sure on how to answer that

Step-by-step explanation:

pls help. i will give brainliest!!!!!!

Answers

Answer:

the strong correlation

Please solve with explanation

Answers

Answer:

The x coordinate of S is b.

Step-by-step explanation:

a)

The coordinates of Point Q are:

(2a+2b)/2, 2c/2

= [(a + b), c].

The slope of the line AB

= (0-2c)/(2b-2a)

= -c/(b-a)

So The slope of the line QS = (b - a) / c = (b - a)/c.

Its equation is

y - c = (b - a)/c ( x - (a+b))

y = (b - a)/c ( x - (a+b)) + c.

The coordinates of Point P are:

(2a+0)/2, 2(c+ 0)/2

= (a, c)

The slope of the line AO

= (2c)/2a

= c/a

So The slope of the line PS = -a/c

Its equation is

y - c =  -a/c(x - a)

y  =  -a/c(x - a) + c

b)

So:

(b - a)/c ( x - (a+b)) + c

=  -a/c(x - a) + c

(b - a)(x - a - b) + c^2 = -a(x - a) + c^2

(b - a)(x - a - b) = -a(x - a)

bx - ab - b^2  - ax + a^2 + ab = -ax + a^2

bx - ax + ax + a^2 - a^2 - ab + ab = b^2

bx  =  b^2

x = b = the x coordinate of S.

c). The point R has the same x coordinate as S So RS is perpendicular to OB.

Write the missing exponent that makes the equation true: 4^t times 2^t = 2^what

Answers

Answer:  what = 3t  

Step-by-step explanation:

            4^t × 2^t = 2^what         [convert all terms to the same base (2)]

∴   2^t × 2^t × 2^t = 2^what       [use the multiplicat law of exponents]

              2^(t+t+t) = 2^what       [simplify]

                   2^3t =  2^what

   

                     what = 3t    

trying to figure it out

Answers

Equation 2 is linear

anybody answer this question seriously please it has to be correct

Answers

Answer: that epuals 2/7

Step-by-step explanation:exam

which of the binomials below is a factor of this trinomial?
x² + 2x - 35

Answers

Answer:

(x-5)(x+7)

Step-by-step explanation:

They're the factors of the trinomial x^2+2x-35

Explain the parts of an angle

Answers

Answer:

line segments are the lines

rays are line segments that have one vertex

a vertex is the endpoint of a line(usually represented by a dot)

Step-by-step explanation:

x^3+10x^2+19x-30/x+6

Answers

Answer:

make it an equation

Step-by-step explanation:

It's not an equation.

Answer these questions pls
1. The constant in the equation is always zero.
Proportional or Non-proportional

2. Y=2x - 4
Proportional or Non-proportional

3.jimmy plans to save $20 every week
Proportional or Non-proportional

Answers

Answer:

1.  Non-proportional

2. Proportional

3. Proportional

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