what is an equation of the line that passes through the points (3,-9) and (-12,-6)

Answers

Answer 1
The equation is y = -1/5x + -42/5


The equation for slope is
y1 - y2
_________ = m
x1 - x2



-6 - -9 = 3
_________ = 3/-15 = -1/5
-12 - 3 = -15

m = -1/5

The equation for a line is y = mx + b.

m is -1/5
y = -1/5x + b

Plug in any point of the line into x and y.
-9 = -1/5(3) + b
-9 = -3/5 + b
-45/5 = -3/5 + b
-42/5 = b

y = -1/5x + -42/5

Related Questions

If E is the circumcenter of MNP, find each measure.

Answers

Answer:

NE = 37

MD = 3[tex]\sqrt{65}[/tex]

Step-by-step explanation:

NOTE: This explanation assumes you have basic knowledge of circumcenters, the Pythagorean Theorem, and pre-algebra

Assuming the calculations you so kindly did for us are correct:

To find NE

Simply plug x, which you found was 5, into the equations 13x-28, then you have the length of the line NE, which is 37.

So

NE = 37

To find MD

A little bit trickier, but still simple. You end up having to use the Pythagorean Theorem. Since NE = ME, you know that ME is equal to 37. Since triangle MED is a right triangle, and you're given on the the side ED (which is 28), and the hypotenuse, ME (which is 37), you can say that

28^2 + b^2 = 37^2

784 + b^2 = 1369

b^2 = 585

b = 3[tex]\sqrt{65}[/tex]

(In which b is MD)

So

MD = 3[tex]\sqrt{65}[/tex]

PLS HELP ME WITH THIS QUESTION

Answers

Answer:

-0.88

Step-by-step explanation:

(w^2/x - 3)÷ 10.z

(-6/1.2 - 3)÷ 10. -6/7

(-5-3)÷ 9.14

(-8)÷ 9.14

-8/9.14

= -0.88

How would I solve 3 - 1 3/8 = ?

Answers

[tex] \begin{cases}{{ \large{ \blue{ \rm{{↬}}}}}} \: \rm \large \: \: 3 \: - \: 1 \times \frac{3}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{3}{1} \: - \: \frac{11}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{24 \: - \: 11}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{13}{8} \end{cases}[/tex]

Step-by-step explanation:

you first change the mixed fraction into improper fraction after that you find the LCM .1 * 8 will give you 8 so you multiply 8 * 3 to get 24 8 will divide its self once so you will multiply 1 and11 to get 11 and subtract it from 24to get 13/8 and divide.

How do you do
24 divided by 0.012

Answers

Answer:

24 ÷ 0.012 =2000

Step-by-step explanation:

24 ÷ 0.012

= 2000

What transformations take place by graphing the function below in respect to its parent function? Check all that apply.

Answers

Answer:

- Vertical Stretch

-Left 7 Units

-Up 2 units

Step-by-step explanation:

Because the formula is being multiplied by a number larger than 1, it is being vertically stretched. In this problem, it is being vertically stretched by a factor of 3/2.

When X is being added to in the parenthesis, it causes the graph to shift to the left. Since the equation has (X+7), the graph shifts left by 7 units.

When a number is added to the equation, it causes the graph to shift upwards. In this example, 2 is being added, therefore, the graph shifts upwards by 2 units.

That means there is a vertical stretch by a factor of 3/2, a horizontal translation left 7 units, and a vertical translation up 2 units

PLEASE HELP
will mark brainliest

Answers

Answer:

f(x) = x - 2

Step-by-step explanation:

If you notice, the f(x) or y value is 2 less than the x value for every x value listed. This means that x - 2 = y. Just by rearranging this equation, you are given an equation in the linear form y = mx + b:

y = x - 2

Since the y coordinate is being represented by f(x) in the equation, as it is a function, the answer would be:

f(x) = x - 2

if the equation is x²+y²-12x-10y=-12 what is the center and radius of the equation and give the graph

Answers

Answer:

center (6;5); R=7

Step-by-step explanation:

Step-by-step explanation: Subtract    

12  from both sides of the equation. x 2 − 12 x + y 2 + 10 y = − 12 , Complete the square for  x 2 − 12 x .

Find F2 if FX equals X +1 squared

Answers

Answer:

9

Step-by-step explanation:

f(x) = (x+1) ^2

f(2) = (2+1)^2

f(2) = 3^2 = 9

Which values from the set (-6,-4,-2,0,2,4,6) Satisfy this inequality? 3+1/2x>4

Answers

Answer:-6 and -4

Step-by-step explanation:

PLEASE HELP ITS MATH THANK YOUUUU HURRY

Answers

Answer:

3 miles

Step-by-step explanation:

2 divided by 2 is 1 and 6 divided by 2 is 3.

Is it equal greater or less983.9 9.839

Answers

Answer:

what is the question ❓ i don't understand

Find the measure of side IJ

Answers

Answer:

IJ units

Step-by-step explanation:

What else is there..?

In a certain university, there was a certain number of students who attended the general orientation. The number of male students was five times as many as that of female students. When 324 male students left the orientation, the number of female students became twice as many as that of male students. How many students attended the orientation?

Answers

Answer:

fewfefdfgtrusergwer h4yr sfd gw gr.

Step-by-step explanation:

The number of students who attended the orientation in that considered university was 432

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, first, let we assume the number of male students and female students who attended the orientation:

m = number of male students attending the orientationn = number of female students attending the orientation

From the description, we have:

m = 5 times n = 5n

and

(m - 324)'s twice = n

or 2(m-324) = n

Thus, we get system of two equations as:

[tex]m = 5n\\2(m-324) = n[/tex]

Substituting value of m from first equation in second, we get:

[tex]2(5n - 324) = n\\10n -648 = n\\\\n = \dfrac{648}{9} =72[/tex]

Putting this value of n back in first equation, we get:

[tex]m = 5n = 5 \times 72 = 360[/tex]

Assuming that there were only two gendered students in university orientation (males and females), we get:

Total number of students who attended the orientation = m + n = 360 + 72 = 532

Thus, the number of students who attended the orientation in that considered university was 432

Learn more about system of equations here:

https://brainly.com/question/13722693

Which of the following is an example of a linear inequality? *

a. 2x - 4 = 6

b. 7x > 3

c. 2x^2 + 3 = 4x

d. x^3 + x^2 - 3 = 0​

Answers

Answer:

It would be B because that is the only answer that contains a inequality symbol.

Step-by-step explanation:

Answer:

Option A is a Linear Pair

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable x is 1.

Hope it is helpful....

Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book. What fraction of the original money has Ade left?​

Answers

If Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book. The fraction of the original money Ade left will be 4/5

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book.

The fraction of the original money Ade left is,

=1-(1/4+1/5)

=1-(1/5)

=4/5

Thus, if Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book. The fraction of the original money Ade left will be 4/5

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Which expression is equivalent to −3(−56) Group of answer choices −157 156 −87 157

Answers

Answer:

D.15r7

Step-by-step explanation:

multiplying two negatives equals a positive: (-)x(-)=(+)

-3rx(-5r^6)

simplifing to

3rx5r^6

then combime like terms to get

15r7

keep in mind significant figures. 6.020*0.0510 (use a calculator)

Answers

Answer:

0.30702

Have a good day.

Answer:

0.030567

Step-by-step explanation:

carry on learning

Holly buys a $22 shirt for 20% off. The tax rate in her city is 6.5%. What is the total amount she paid for the shirt? Round to the nearest cent.

A.$2
B.$18.74
C.$24.10
D.$8.50

Answers

The total amount Holla paid for the shirt is: B. $18.74

Given the following data:

Cost of shirt =  $22Discount = 20% Tax rate = 6.5%

To find the total amount she paid for the shirt:

First of all, we would determine the discount on the shirt:

[tex]Discount = \frac{20}{100} \times 22\\\\Discount = 0.2 \times 22[/tex]

Discount cost = $4.4

[tex]Selling\; price = Cost\;price - Discount \\\\Selling\; price = 22 - 4.4[/tex]

Selling price = $17.6

Next, we would determine how much tax is to be paid:

[tex]Tax \;cost = \frac{6.5}{100} \times 17.6\\\\Tax \;cost = 0.065 \times 17.6[/tex]

Tax cost = $1.444

[tex]Total\;amount = selling \;price + tax\;cost\\\\Total\;amount = 17.6 + 1.444[/tex]

Total amount = $18.74

Read more: https://brainly.com/question/13282374

What is the area of 4 inches and 1 inches

Answers

4 because 4x1 is 4 so the answer is 4 inches

Provide the missing statement and reasons for the following proof: Given: 9(x−6)+41=75Prove: x=889

Answers

Answer:

Reason 1 ) Subtraction Property of Equality

Reason 2 ) Substitution Property of Equality

Statement 3 ) 9x - 54 = 34

Reason 4 )  Addition Property of Equality

Reason 5 )  Division Property of Equality

Step-by-step explanation:

(x^2 + kx + 10) ÷ (x - 1) has a remainder of 4.
I have no idea how to do this, I've tried Synthetic division, remainder theorem etc. and cant figure it out.

Answers

9514 1404 393

Answer:

  k = -7

Step-by-step explanation:

Attached are both synthetic division and remainder theorem solutions. Either way, you find the remainder is k+11, which you want to have a value of 4.

  k +11 = 4

  k = -7 . . . . . subtract 11 from both sides

_____

The second attachment shows the long division that validates this result.

What is the slope of the line represented in the table of values?


A.)9


B.)118


C.)19


D.)18
(PLEASE HELP)

Answers

Answer:

Slope = 9

Step-by-step explanation:

Point (3,27) and (5,45)

m = (45-27)/(5-3)

18/2 = 9

Answer:

9

Step-by-step explanation:

To find the slope of a line, one of the methods is to look for the rise over run, or the change in y over the change in x. If we just look at the first few numbers on the chart, we can see that the change in y (for the first two numbers) is 18, and the change in x (for the first two numbers) is 2. So our slope is 18/2, or 9.

I think this is correct, I hope it helped!! :3

20x^{2} +124x+24[/tex]

Answers

Factorization is the process of breaking an integer down into its components or divisors, and further calculation can be defined as follows:

Given:

[tex]20x^{2} +124x+24[/tex]

To find:

solve the given problem

Solution:

[tex]\to \bold{20x^{2} +124x+24}\\\\\to \bold{4(5x^{2} +31x+6)}\\\\\to \bold{4(5x^{2} +31x+6)}\ \ \ \ \ \ \ \ \ \ \ 5\times 6= 30 \ \ and\ \ 30 \times 1= 30\\\\\to \bold{4(5x^{2} +(30+1)x+6)}\\\\\to \bold{4(5x^{2} +30x+1x+6)}\\\\\to \bold{4(5x(x +6)+1(x+6)}\\\\\to \bold{4((x +6) (5x+1)}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{4((x+6)(5x+1))}[/tex]".

Learn more:

brainly.com/question/10755001

I give briniest for the right answer if you don't know the answer don't answer it.

Answers

Answer:

yes, no because it's not a decimal with only one digit in front of the decimal mark, no because the decimal point is too far forward.

A:

i:

5.1 x 10^6

9.75 x 10^10

1.2 x 10^-7

5.008 x 10^-6

ii:

a. 3200000000000

b. 50700

c. 0.00056

d. 0.083

B:

3,2,4,1

1,2,3,4 -ik but it's what i got

1,3,4,2

C:

uranus, neptune, saturn, jupiter

answer choice B

D:

8 x 10^-5

9 x 10^6

3 x 10^-5

7 x 10^-5

5.5 x 10^5

3.2 x 10^5

8.2 x 10^5

7.3 x 10^-3

0.0000832

3120000

0.009

0.0085

8000000

0.05

0.067

57.5

Step-by-step explanation:

f(5)-f(3) = x^2+7x-22

Answers

Answer:

your answer is going to be -158

Step-by-step explanation:

(5)-(3)^2+7×-22=-158

convert the following numbers from base 10 to base 2
1256
10988

Answers

Answer:

Steps To Convert From Base 10 to Base 2-

Divide the given number (in base 10) with 2 until the result finally left is less than 2.

Traverse the remainders from bottom to top to get the required number in base 2.

Hope this helps you get the answers!

what is the length of the diagonal of the rectangle?

Answers

Answer:

C

Step-by-step explanation:

i just added

6+(-4 3/4)+(-2 1/8)
Fraction in simplest form

Answers

Answer:

6-43/4-21/8

6(-68-21/8)

48-107/8

-59/8

write (4y^4)^2 without exponents ​

Answers

Answer:

(16y)^2

16y^2

--> 256y

Step-by-step explanation:

16y^2

=256y

hope this helped :)

can u answer this please?
thanks! ☺️

perform the indicated operations and simplify.

Answers

13. 1
14. 6
15. (t+1)
16. 1
17. 1/9
18. 2/b-3
19. k-16/30
20. 6m+6/m^2 - 6m
Other Questions
identify each classification of the real number system that can describe the set of numbers shown {3, 9, 147, 400}) Integer ) Irrational) Real) Rational) Whole) Natural please answer this question Since 16 > O what does that tell you about thenumber of solutions.No real solutions2 real solutions1 real solution Read Sentence 22 from the passage.Even though some of the guests___ don't like readingmysteries, they all had a great time at the party.Which pronoun best completes the sentence?ourselfourselvesthemselfthemselves what is the most missed field goals in an nfl game No links no spam. 20 pts will give brainliest for best answer. 10. This is created when similar elements on an outline are written using similar constructions.rhetorictransitionsdiscordsyntaxparallelism May I please receive help? Is space infinite? Solve w=x/y-x for x. What is not a key fluid or molecule that excretion balances?Nitrogenous wasteWaterSaltLymph Write a paragraph that analyzes how Jack London presents the location, problems, or people from a real event in history in his short story "To Build a Fire.To Build a Fire, Part 1To Build a Fire, Part 2 What is the slope of this line? 2/3 2/3 3/2 I don't know. Graph of a line on coordinate plane. Axes are labeled x and y. Three points are shown, labeled with ordered pairs 2 comma 3, 5 comma 5, and 8 comma 7. The line passes through these three points. How many protons, neutrons, and electrons make up an ion ofradium-208 that has a +2 charge? Voyager 1 and Voyager 2. (Note that Plagiarism will result in an automatic Zero. Do not cut and paste. Put things in your own words. please.)Your job is to research the following two famous satellites and report on the following information about both. Make sure to be specific about what information goes with with one. 1. When were they launched?2. What were there purposes?3. Which nation/s were involved in building them?4. What information have they sent back to earth?5. What did scientists put on them for extra terrestrial life to find? Make sure to list them and describe what they are and do.6. Are they still working? 7. Where are they located and where are they going?8. How fast are they traveling?9. At least on interesting fact about each.NEXT - Research at least 5 more satellites and find the following information about them. 1. When were they launched?2. What were their purposes?3. Which nation/s were involved in building them?4. What information have they sent back to earth?5. How much did they cost to build?6. Are they still working? 7. Where are they located and where are they going?8. How fast are they traveling?9. At least on interesting fact about each.10. Copy and past a picture of each onto your page. HELP ME I WILL GIVE BRAINLIEST just 6 & 7 example: on number one i still dont get How many subshells in 4s In which weight training exercises do you put your back leg on a chair and squat at a 90deree angle. Being socially aware, possessing social acumen, practicing self-monitoring, and having the ability to decide on the best response for any given situation, and then following through with said decision, are part of Zaccaro's definition of 1. Jasmine has two more than five times the number of books that Steven has. She has atleast 15 books. x= how many books Steven hasWrite out inequality 1. What is one-way African culture in the form of music made its way too the United States2. What was one way that enslaved people improvised to be able to play music3. What were two ways that enslaved people use music to fight against enslavers 5. How did music performed during slavery influence music in 20th century?