Write the standard form of the line that passes through (-1,-3) and (2,1).

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\[/tex]

[tex]\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\[/tex]

Convert equation to standard form

[tex]y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5[/tex]

Write The Standard Form Of The Line That Passes Through (-1,-3) And (2,1).

Related Questions

60 point question!...........

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Answer:

dhsfhb

Step-by-step explanation:

top secret

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Have a good day, dont see a picture?

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M little sister needs help with a geometry problem

Answers

Answer:

Segment bisector = KL

IJ = 11⅓

Step-by-step explanation:

Segment KL cuts segment IJ into two equal parts. Therefore the segment bisector of IJ is said to be segment KL.

Length of IJ:

From the figure given, the bisector divided the IJ into two equal parts. 1 part is given as 5⅔, therefore, the 2 parts joined together will give us lenght of IJ.

Thus, IJ = 2*5⅔ = 2 * 17/3 = 34/3 = 11⅓

Segment bisector = KL

IJ = 11⅓

For a certain city, the temperature each day this week can be described by the inequality below.
3d +6<A
In the inequality, d is the daily temperature in degrees Fahrenheit and A is the average temperature for the year. If A = 54 °F, which statement BEST interprets the solution to the in
A The temperature each day this week was less than 90 "F
B The average temperature for the year was less than 90 °F
c The temperature each day this week was less than 72 °F
DO The average temperature for the year was less than 72 °F​

Answers

Answer:

Option C.

Step-by-step explanation:

We have the following inequality :

[tex]3d+6<A[/tex] (I)

In which :

[tex]d[/tex] : '' The daily temperature in degrees Fahrenheit ''

[tex]A[/tex] : '' The average temperature for the year ''

We first need to find the solution (the inequality related to the value of [tex]d[/tex]) given that we set [tex]A=54[/tex] °F ⇒

Using the equation (I) :

[tex]3d+6<54\\3d<48\\d<16[/tex]

We find that the ''[tex]d[/tex]'' variable (daily temperature in degrees Fahrenheit) is less than [tex]16[/tex] °F.

The option B and the option D give us an interpretation about the [tex]''A''[/tex] variable.

Only the options A and C give us an interpretion about the [tex]''d''[/tex] variable

Between A and C, the option C is a more accurate option (because 72°F is closer to 16°F).

We answer that the option C best interprets the solution.

A total of 587 tickets were sold for the school play. They were either adult tickets or student tickets. There were 63 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

'325 adult tickets' is the ACTUAL answer

Step-by-step explanation:

I am editing this because I made a mistake beforehand

Let's say that x=adult tickets. If we subtract 63 tickets from adult tickets you get the number of children's tickets, so that means x+(x-63)=587. Or,

2x-63=587

Add 63 to both sides to get 2x=650. Divide it all by 2, and you get 325 adult tickets

I really need help with this question

Answers

$518.5 = $375 + $41x

Now that we have our equation, let's solve for the # of hours

Subtract $375 from both sides

$143.5 = $41x

Divide both sides by $41

3.5 = x

The number of labor hours was 3.5

( 32.45 - 4.8) - 2.06

Answers

Answer:

25.59

Step-by-step explanation:

The first thing that you will do is solve parenthesis (remember PEMDAS).

(32.45-4.8) - 2.06

(27.65) - 2.06

Then do the subtraction.

(27.65) - 2.06=

25.59

Hope this helps!

What is the slope of the line that passes through the points (-2,8) and (-22,8)? Write your answer in simplest from

Answers

Can you help me with my homework I need help grades are finalized tomorrow I posted the pictures on my Paige

Find the interest

earned:

$ 15,500 for 7.5 years

at 4.9% annual

compound interest

Answers

Answer:

In 7.5 years, you will have $21,665.07 - $15,000 = $6,665.07 Interest

Step-by-step explanation:

Which procedures are examples of Descartes’s rules for scientific reasoning?

Answers

Keeping a detailed record of the procedure and results of a scientific experiment

Conducting an experiment to confirm the effects of gravity on Earth

Solving an expression in steps using the order of operations

Answer:

keeping a detailed record of the procedure and results of a scientific experiment

conducting an experiment to confirm the effects of gravity on Earth

solving an expression in steps using the order of operations

Step-by-step explanation: Edu

-9 - 5 "add my positive add my negative"

Answers

Answer:

-14

Step-by-step explanation:

The answer is -14 because:

1)  First, we need to know that:

negative x negative = positive

negative x positive = negative

positive x negative = negative

positive x positive = positive

2) -9 - 5 is negative times negative which makes it 9 + 5 = 14

3) Since the number with the negative sign is greater, the answer is -14

Hope this helps!

5n +5y+5n+6a+2d
Can You intelligent people please help me with this

Answers

Answer:

6a+2d+10n+5

Step-by-step explanation:

Answer:

I believe you're trying to simplify if so then the answer is

6 a + 2d + 10n + 5y

if thats not what you're doing lmk what it is you are doing and i will help

Step-by-step explanation:

what is y to the 2 power = 81

Answers

Answer:9

Step-by-step explanation:

help me please this is due today!!!!!!!!!!!!!!1111 :(

Answers

Answer:

Whatever y is you turn it to what x is plus a negative Ex: T(10, 9) U(0,9) V(0,0) W(10,0) Those are the answers.

Step-by-step explanation:

Did this help???

what is 3/8 + 1/2 = i only have 5 minutes do finish this

Answers

Answer:

4/10

Step-by-step explanation:

this is the answer

Answer:

7/8

First Step: 1/2 converts to 4/8

Second Step: Add 4/8 and 3/8

4/8 + 3/8 = 7/8

Joey wants to collect 20 coins from foreign countries. If he has 3 coins so far, what percent of his collection is complete?

Answers

Answer:

17%

Step-by-step explanation:

I think you maybe have to subtract

Answer:

15%

hope this helps!

Please solve this. It is confusing for me

Answers

The answer is b which is the second choice

Hi there! Can someone help with this?
Ali is baking cookies. She bakes 3 dozen sugar cookies, two dozen peanut butter cookies, and four dozen chocolate chip cookies. Ali gives away two dozen sugar cookies, 1.5 dozen peanut butter cookies, and 2.5 dozen chocolate chip cookies. How many total cookies does she keep?

Answers

4 dozen because if you add all dozens and subtract
Or 48 cookies

what is 70-30+12 then divided by 20

Answers

Answer:

2.6

Step-by-step explanation:

First you subtract and get 40 and then you add the 12 which gets 52 and then you divide it by 20 and get your 2.6

Answer:

Step-by-step explanation:

40.6 hope it helps

what is 5 1/12 -3 5/12?​

Answers

Answer:

the answer is -5/6 hope this helps

What value of x that satisfies the equation 7/n=8/7

Answers

Multiple both sides by 7 so (7)(7/n)=8 which equals 49/n=8. Next multiply by n so 49=8n then divide by 8 so n=6.125

How do I solve this? Solve for x 2/3+5/3x=9

Answers

Answer:

5

Step-by-step explanation:

Point M is the midpoint of segment AB.
AM=3x+40 and MB=x^2. Find x and AB

Answers

[tex]\text{Hello there! :)}[/tex]

[tex]x = 8\\\\AB = 128 \text{ units}[/tex]

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

[tex]\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\[/tex]

[tex]\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\[/tex]

[tex]\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40[/tex]

[tex]\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8[/tex]

[tex]\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8[/tex]

[tex]\text{Substitute in this value of x into either AM or MB to solve for AB:}[/tex]

[tex]AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}[/tex]

factorize : 8a³-b³​

Answers

Step-by-step explanation:

8a^3 - b^3

= (2a)^3 - b^3

= (2a -b) (4a^2 + 2ab + b^2)

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 8a³-b³​ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be rewritten as,

8a³ - b³​

= (2a)³ - b³

It is known that x³-y³​ can also be written as (x-y)(x²+xy+y²). Therefore, the above expression can be written as,

= (2a)³ - b³

= (2a - b)[(2a)² + (2a × b) + b²]

= (2a - b)(4a² + 2ab + b²)

Hence, the given expression 8a³-b³​ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

What decimal number is illustrated?

Answers

Answer:

0.28

Step-by-step explanation:

A basketball player has a 60% accuracy rate for making free throws. During practice, this player fails to make a free throw three times in a row, but is finally successful on the fourth attempt. P (X equals k )equals (1 minus p )to the power of k minus 1 end exponent p Using the geometric distribution formula, what is the probability of this player successfully making a free throw on the fourth attempt

Answers

This question is incomplete, the complete question is;

A basketball player has a 60% accuracy rate for making free throws. During practice, this player fails to make a free throw three times in a row, but is finally successful on the fourth attempt.

p(x=k) = p^k (1-p)^k-1

Using the geometric distribution formula, what is the probability of this player successfully making a free throw on the fourth attempt? Each attempt is independent of each other and answer choices are rounded to the hundredths place.

a.) 0.04

b.) 0.60

c.) 0.40

d.) 0.10

Answer: a.) 0.04

Step-by-step explanation:

Given that;

The basketball player has 60% accuracy of  free throws

Now the probability of the player successfully making a free throw on the fourth attempt.

probability of success p = 0.60

number of failure k = 3

the given p.d.f of geometric distribution p(x=k) = p^k (1-p)^k-1

{ 0 <p<= 1 , k=0,1,2,3... }

we substitute our given data

p(x=3) = 0.60^3 (1-0.6)^3-1

= (0.60)^3 (0.40)^2

= 0.216 * 0.16

= 0.035 = 0.04 ( OPTION A)

Max has the 14 stickers shown
at the right. He wants to put an
equal number of stickers on each
of 2 posters. Draw circles in each
box to represent the stickers Max
puts on each poster.

Answers

Answer:

7 Stickers on Each Poster

Step-by-step explanation:

Max has 14 stickers, and 2 posters. You have to divide 14 by 2. Or, put one sticker in each box until you run out of stickers. Eventually, you'll end up with 7 stickers in each poster.

Solve for g.
4(g - 17) = 12
g=

Answers

Answer:

[tex]g=20[/tex]

Step-by-step explanation:

[tex]4\left(g-17\right)=12[/tex]

Divide both sides by 4:

[tex]\frac{4\left(g-17\right)}{4}=\frac{12}{4}[/tex]

[tex]g-17=3[/tex]

Add 17 to both sides:

[tex]g-17+17=3+17[/tex]

[tex]g=20[/tex]

Answer: g=0 or g=20 i hope this helped

Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)

Answers

Answer:

Step-by-step explanation:

21:00 i believe

Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15

Answers

Answer:

45,42,126

multiply by 3

The next three terms in the sequence are : 45, 42 and 126

Given the sequence 2, 6, 3, 9, 6, 18, 15

Rule :

Multiply the first term by 3 to obtain the second term Subtract 3 from the 2nd term to obtain the third term The third term is multiplied by 3 to obtain the fourth term Subtract 3 from the fourth term to obtain the fifth term. And the process continues....

Starting with the first term ; 2 ;

2nd term = 2 × 3 = 6

3rd term = 6 - 3 = 3

4th term = 3 × 3 = 9

5th term = 9 - 3 = 6

6th term = 6× 3 = 18

7th term = 18 - 3 = 15

8th term = 15 × 3 = 45

9th term = 45 - 3 = 42

10th term = 42 × 3 = 126

Hence, the next three terms of the sequence are : 45, 42 and 126

Learn more : https://brainly.com/question/18109692

what is a cumulative gragh

Answers

Answer:

Cumulative frequency is the running total of the frequencies. On a graph, it can be represented by a cumulative frequency polygon, where straight lines join up the points, or a cumulative frequency curve.

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