What is the equation of the line that passes through (4, -1) and (-2, 3)?

Answers

Answer 1

Answer:

3--1/-2-4=4/-6=2/-3

y=-2/3x+b

-2*-2/3=4/3

3-4/3=5/3

y=-2/3x+5/3

Step-by-step explanation:

Answer 2

Answer:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

We want to find the equation of the line that passes through the two points:

(4, -1) and (-2, 3).

First, we will find the slope of the two points. So:

[tex]\displaystyle m=\frac{3-(-1)}{-2-4}=\frac{4}{-6}=-\frac{2}{3}[/tex]

Now, we will use the point-slope form given by:

[tex]y-y_1=m(x-x_1)[/tex]

Use either point. I'm going to use (4, -1). So, substitute:

[tex]\displaystyle y-(-1)=-\frac{2}{3}(x-(4))[/tex]

Simplify and distribute:

[tex]\displaystyle y+1=-\frac{2}{3}x+\frac{8}{3}[/tex]

Subtract 1 from both sides. Therefore:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]


Related Questions

Evaluate the expression (13 - 2) ^ 2 ÷ 11
What is the value expression?

Answers

Answer:

11

Step-by-step explanation:

(13-2)^2/11

11^2=121

121/11=11

The answer is to this expression is 11

B. Solve:
1. An item price at P3,600 has a 25% discount. Find the
discounted price.

2. John lives twice as far from school as Mona does. If
the total distance that John and Mona travel every
school day is 8.7 km, how far from school does John
live?

3. Find two consecutive integers whose sum is 143.
(hint: let x-the first integer, X+1-second integer)​

Answers

Answer:

1. 3600 x 25 ÷100 =900

there fore the discount price is p900

3. it means if you add to integers you get 143

so x +x+1=143

2x +1=143

2x+1-1=143_1

2x=142

2x/2 =142/2

x=71

x+1=71+1=72

1.
3/4 x 3600= 2700
Answer: P2700
2.
8.7/3=4.9
4.9x2=5.8
Answer: John lives 5.8 km from school
3.
x+x+1=143
2x=142
X=71
Answer: 71,72

3. Select all the situations that can be represented by an exponential function.

1. Jim deposits $1,000 in an account that doubles in value every 7 years.
2. Brian deposits $30 in a savings account. Then he deposits $2 each month for the next 9 months.
3. Leon runs a mile in 8 minutes. Then he runs a mile each day for the next 4 days, reducing his time by 1.5% each day.
3.Cynthia runs a mile in 9 minutes. Then she runs a mile each day for the next 4 days, reducing her time by 6 seconds each
5.Marie deposits $30 in a savings account. Then she makes a deposit each month for the next 9 months, putting in $2 more
deposit

Answers

I think the answer is A, B, and E. I'm not sure if it is 100% correct.

Help pleassssee

An investment of £150 increases by 2.5% each year, for 3 years. Calculate the value of the investment at the end of the period

Answers

150 * 1.25 * 1.25* 1.25 = £292.97
Hope it helps

after a few mathletes join the team, the team is able to solve 40% more problems per session. Of the team can solve 42 problems per session now, how many problem were they able to solve before the new mathletes joined?

Answers

Answer:

30

Step-by-step explanation:

Ur Welcome

The number of problems they were able to solve before the new mathletes joined, 30

What is the percentage?

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

After a few mathletes join the team, the team is able to solve 40% more problems per session

Let X be the number of problems the team was able to solve before the new mathletes joined.

We know that after the new mathletes joined, they were able to solve 42 problems per session, which is 40% more than before, so:

X x 1.40 = 42

Solving for X:

X = 42 / 1.40 = 30.

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ6

please help!!!!!! emergency

Answers

Please post the full question
I can only see half of the question

10b + (-45) = -43 b=__

Answers

Answer:

b=1/5

Step-by-step explanation:

10b + (-45) = -43

10b = 2

b = 2/10

b = 1/5

What is the solution?

Answers

Answer:

(1,-1)

Step-by-step explanation:

the solution is where the two lines meet up at and they meet up at (1,-1)

A school Buys 3 boxes of pencils. each box has an equal number of pencils. There are 4272 pencil altogether. How many pencils are in two boxes.

Answers

1,424 in eachh boxx

Answer:

Each box contains 1424 pencils;

There would be 2848 total pencils in two boxes.

Step-by-step explanation:

1424 x 2 = 2848 pencils

3x-5y=-9 -4x+6y=10
Con método de suma y resta
Porfa

Answers

10=10=10 x,y ( 155/2 97/2

osea que x = 155/2 yY= 97/2

The table below shows all possible outcomes of flipping a coin two times in a row, where H stands for heads and T stands for tails.
Possible
Outcome
Heads/Tails
Combination
HH
HT
2
3
TH
TT
4
Which fraction represents the probability of flipping two tails in a row?

Answers

the answer must be 2/4

5/8 divided by 1 1/3 =?

Answers

1 1/3 divided by 5/8

First you need to convert the mixed number into an improper fraction

4/3 divided by 5/8

Now you flip the reciprocal for 5/8 which would turn into 8/5

Rewrite it

4/3*8/5

Now you then multiply both sides Which would give you 32/15

32/15 is your answer or if you need any other forms of the answer 2 2/15 or 2.13 repeating

Norma and Albert both clean pools. Each charges a flat fee to clean a pool. Norma cleans 12 pools in 8 hours and earns $270. Albert cleans 9 pools in 7.5 hours and earns $195.75.

Answers

Answer:

Step-by-step explanation:

Noma cleans   12 pools in 8 hours

How many pools in how many minutes?

8 x 60= 480

He cleans 12 pools in 480 minutes

How many minutes does he take to clean a pool?

480/12 = 40

He cleans a pool in 40 minutes.

How much does he earn to clean a pool?

since he cleans 12 pools to earns $270

then 270/12 =22.5

Therefore, he charges $22.5 to clean a pool in 40 minutes.

Albert  9 pools in 7.5 hours

How many pools in how many minutes?

7.5 x 60= 450

He cleans 9 pools in 450 minutes

How many minutes does he take to clean a pool?

450/9 = 50

He cleans a pool in 50 minutes.

How much does he earn to clean a pool?

since he cleans 9 pools to earns $195.75

then 195.75/9 =21.75

Therefore, he charges $21.75 to clean a pool in 50 minutes.

Find the value of x.

I need to show my work.

Thank you~~~~~~~~

Answers

Answer:

180-72-72=36

90-36=54

180-54-54=72

72=7x-12

84=7x

x=12

Step-by-step explanation:

sam has 4 balls and jose has 6 if sam gives jose 1 of her balls how many does shee have

Answers

Answer:

sam has 3 balls left

Step-by-step explanation:

Answer: she has 3 left

Step-by-step explanation:

PLEASE HURRY PLEASE I WILL MARK BRAINLIEST!!!!!!!

Answers

Step-by-step explanation:

the first , second one and the last one

[tex] - 7 \frac{3}{4}x - 7(3) \\ 7( - \frac{3}{4} x) - 7(3) \\ - 5 \frac{1}{4} - 21[/tex]

could you help me with this question plz

Answers

Answer:

In last year's survey, 10 people asked for a playwriting class.

Step-by-step explanation:

It supports the statement 'a playwriting class would be well attended' because it provides the proof that at least 10 people wanted a playwriting class to be hosted - this data shows a playwriting class would indeed be popular.

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write the following number words in symbols. 1.one hundred twenty-seven thousand, four hundred fifty-nine 2.Two hundred six million, three hundred twenty thousand, ninety-six 3.Three hundred twenty-two and 38 hundredths

Ty<33​

Answers

1) 127,459
2) 206,320,096
3) 322.38

graph the linear equation y=2x+3 by making a table​

Answers

Answer:

(-1,1)

(0,3)

(1,5)

(2,7)

Mel uses one fourth of a yard of ribbon to make a hair bow how many hair bows can mel make with 1 yard of ribbon​

Answers

Answer:

4

Step-by-step explanation:

If its 1/4 then you can use it 4 times to equal a whole yard

The formula to convert Celsius to Fahrenheit is FC +32. Convert 87°F to
Celsius. Round to the nearest degree.

Answers

Answer:

31°

Step-by-step explanation:

To convert Fahrenheit to Celsius is C= (F-32) * 5/9

So first do parenthesis 87-32= 55

Next multiply that number by 5/9 which is 30.55555555

Then round your answer = 31°

Factor out the gcf

-240c^2+ 30c^5+ 18c^4

Answers

Answer:

6c^2(-40 + 5c^3 + 3c^2)

Step-by-step explanation:

These three terms have the common factor c^2.  Thus:

-240c^2+ 30c^5+ 18c^4 = c^2(-240+ 30c^3+ 18c^2).

Recognizing that 6 is common to all three terms inside the parentheses, we get:

6c^2(-40 + 5c^3 + 3c^2)  This is as far as factoring of this expression can be taken.

in the figure shown, which pair of angles must be supplementary

Answers

Answer:

PQT and TQS

Step-by-step explanation:

they must supplement each other to get the 90

yo, can u help me with this, please?​

Answers

Answer:

it is 12

Step-by-step explanation:

Which equation yields the solutions x=−2 and x=−10?

Answers

What are the options ..

Options:

A. −x2−2x+35=0

B. 5x2+40x+60=0

C. −4x2+24x−20=0

D. x2+12x+20=0

Answer: its not B

sorry it only let me choose once ttm2021

PLEASE HELP THIS IS ONE OF MY OVERDUE ASSIGNMENTS AND I NEED HELP!!!

Answers

The scale factor is 2/1 = 2

So it’s 2

at the party Adrian will serve each guest 1/8 of a cake he has 3 cake what is the greatest number of guests can Adrian serve ​

Answers

the greatest amount of guest adrian can serve is 24

Cone A has a diameter of 12 meters and a slant height of 9 meters. The linear dimensions of cone B are 5 times the linear dimensions of cone A. Compare the volume of cone B to the volume of cone A.
******ill give brainliest plz help me*****

Answers

Answer:

Cone volume formula

To calculate its volume you need to multiply the base area (area of a circle: π * r²) by height and by 1/3: volume = (1/3) * π * r² * h

Step-by-step explanation:

a cinema has three screens last saturday there were 500 visitors

Answers

Yes very much so good job

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

Therefore, 175 visitors went to screen 3.

Step-by-step explanation:

solve for x:
2x^2/3=8 ​

Answers

Answer:

[tex] \frac{2 \times{x}^{2} }{3} = 8 \\ 2 {x}^{2} = 24 \\ {x}^{2} = 12 \\ x = 3.46[/tex]

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