Write the point-slope form of an equation of the line that passes through (4, -3) and (2, 1).

Answers

Answer 1

Answer:

y + 3 = -2(x - 4)

Step-by-step explanation:

(x₁,y₁) = (4 , -3)

(x₂,y₂) = (2 , 1)

[tex]Slope =\frac{y_{2}_y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-[-3]}{2-4}\\\\=\frac{1+3}{-2}\\\\=\frac{4}{-2}\\\\= -2\\[/tex]

Point slope form: y - y1 = m(x -x1)

y - [-3] = -2(x - 4)

y + 3 = -2(x - 4)


Related Questions

Round 6.09933418366 to 4 decimal places.

Answers

Answer:

6.0993

.................

Answer:

Step-by-step explanation:

If you want to round to 4 decimal places, look onto the 5th decimal place. If 5th decimal place is 5 ,6,7,8 or 9 then add  to the 4th decimal place. If the 5th decimal place hold 1,2,3 or 4 then write the 4th decimal place as it is.

6.09933418366

Here, 5th decimal place is 3.

So, 6.0993 is the answer

Look at this triangle.
B
11 cm
4 cm
Work out length AC.
(my teacher told me to start out with c first, c= an something like that I don’t remember)

Answers

Step-by-step explanation:

<c =90 °

So, Pythagoras theorem can be used,

Hypotenuse ² = base ² + altitude ²

AB²=AC²+BC²

11²=AC²+4²

11²-4²=AC²

121-16=AC²

Root 105=AC

AC=10.2 cm

The length of AC is 10.25 cm

What is pythagorean theorem ?

If ΔABC is a right angle triangle, then

AB² = BC²+AC²

where AB = Hypotenuse, BC & AC are adjacent sides of the right angle

What is the required length of the side ?

Given, hypotenuse = AB = 11 cm

One of adjacent sides = BC = 4 cm

We have to find the length of AC.

Using pythagorean theorem,

AB² = BC²+AC²

⇒ AC² = AB² - BC²

⇒ AC² = 11²-4²

⇒ AC² = 121-16

⇒ AC = √105

⇒ AC = 10.25

So the length of AC = 10.25 cm

Learn more about pythagorean theorem here :

https://brainly.com/question/343682

#SPJ2

Marcel bought a new pair of inline skates. Each
wheel on the skates is 41 millimeters in radius.
Which shows the number of millimeters
traveled in 5 full rotations of a wheel?
F 2051 mm
G 82 mm
H 417 mm
J 410 mm

Answers

Answer:

1288.05

Explanation:

41mm=r

2(pi)r=257.61

257.61x5=1288.05

Please help if possible!!

Answers

Answer:

I think 12 is B yh I hope so

Answer:

11. a

Step-by-step explanation:

-2x + 5( 3 + 2x )

-2x + 15 + 10x

8x + 15

Your geometry class goes on a field trip to the zoo. If an 24-foot tall tree casts a 12-foot
shadow, how tall is an adult elephant that casts a 5-foot shadow?

Answers

Answer:

10 ft.

Step-by-step explanation:

the shadows are half of the actual height, so double 5 is 10

What is the percent decrease from 95 to 19?

Answers

Answer:

-80 percent

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

19/95=0.20

100%-20%=80%

80%*95=76

95-76=19

pls help and explain I will mark you brainliest btw. :)​

Answers

Step-by-step explanation:

count the number of full boxes

count yhe number of the unfull boxes

then add them together

divide the answer by two

A truck traveled 144 miles on 12 gallons of diesel fuel. At
this rate how much fuel will the truck use to go 720 miles?

Answers

Answer:

60 gallons

Step-by-step explanation:

144/12 = 12 mi/gal

720/12 = 60

Answer: 60 gallons of diesel fuel

Steps:
720/144 = 5
5 * 12 = 60
60 gallons for 720 miles

The perimeter of a square is 64mm. Write and solve an equation to determine the length of each side of the square.

Answers

Answer:

8mm

Step-by-step explanation:

HELP ASAP I NEED TO FINISH THIS HOMEWORK AND IM ON THE LAST QUESTION

Kaylee and her friends are going into a bakery. How much would it cost to buy 1 donut and 5 cookies if each donut costs $2.00 and each cookie costs $1.25? How much would it cost to buy 11 donuts and 55 cookies if each donut costs $d and each cookie cost $c

Please include the work!

Answers

Answer:

1. 2.00+(1.25 x 5)=8.25 2. 11(d$)+55(c$)=cost

Step-by-step explanation:

1.25 x 5 = 6.25 6.25+2=8.25  The rest involves varibles based on donut=2 and cookie = 1.25.

Hoped this helped! If it did, please give brainliest! :)

P.S. Thanks for so many points! :D

PLEASE HELP ILL MARK BRAINLIEST

Answers

it would be closer to 1 because the target is -2- wide meaning the probality of hitting it is higher

If u put 2500 in an account at an annual rate of 5.6 with interest compounded annually, what is annual percentage yield

Answers

Answer:

5.6%

Step-by-step explanation:

The computation of the annual percentage yield is shown below:

Given that

Initial investment amount is 2,500

And, there is an annual rate of interest i.e. 5.6%

Since we have to determine the annual percentage yield i.e. equivalent to the annual rate of interest i.e. 5.6%

Hence, the above represent the answer

letter=number
14.6=e-3.2

Answers

Answer: e = 17.8

Step-by-step explanation: 14.6 + 3.2

The answer is e = 17.8. Hope this helps!

In ratio a:b, the first term a is called
O antecedent
O extreme
O consequent
mean

Pls someone help me

Answers

It is called the antecedent

Please help a friend out will give brainilest

Answers

Answer:

x = 10

Step-by-step explanation:

Let the missing value be x.

Therefore,

[tex]6 \frac{1}{2} - 1 \frac{x}{16} = 4 \frac{7}{8} \\ \\ \frac{6 \times 2 + 1}{2} - \frac{16 \times 1 + x}{16} = \frac{4 \times 8 + 7}{8} \\ \\ \frac{13}{2} - \frac{16 + x}{16} = \frac{39}{8} \\ \\ \frac{13 \times 8}{2 \times 8} - \frac{16 + x}{16} = \frac{39 \times 2}{8 \times 2} \\ \\ \frac{104}{16} - \frac{16 + x}{16} = \frac{78}{16} \\ \\ \frac{104 - 16 - x}{16} = \frac{78}{16} \\ \\ 88 - x = 78 \\ \\ 88 - 78 = x \\ \\ x = 10[/tex]

Please help me this is due today.

Answers

Answer:

Yes it is congruent

Please help me!
[One Step Inequalities]

Answers

Answer:

C

Step-by-step explanation:

Divide each side by 5

Simplify 4х+ 2-
+8-12
О
3х - 2
3х + 4
о
5х – 4
5х + 4


Can someone please help!!! I really need the answer

Answers

Answer:

3x - 2

Step-by-step explanation:

[tex]4x + 2 - \frac{ {x}^{2} + x - 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}^{2} + 4x - 3x- 12}{x - 3} \\ \\ = 4x + 2 - \frac{ {x}(x + 4) - 3(x + 4)}{x - 3} \\ \\ = 4x + 2 - \frac{ (x + 4) \cancel{(x- 3)}}{\cancel{(x- 3)}} \\ \\ = 4x + 2 - (x + 4) \\ \\ = 4x + 2 - x - 4 \\ \\ = 4x - x + 2 - 4 \\ \\ = 3x - 2[/tex]

i need help please provide with the correct answer. it is due at 11:59 pm

Answers

I think the answer is d

Jennifer is rewriting a polynomial by combining like terms. Which terms does she need to combine to finish rewriting the polynomial?

Answers

Answer:

B and D

I hope it helps.

Answer: -7c^2d^2

C^2d^2

Step-by-step explanation:

Which expression (s) are equivalent to the given expression

Answers

Answer:

Where are the expression??

Step-by-step explanation:

Order these angels from least to greatest
13 and 14

Answers

13. angle N, angle R, angle Q

14. angle G, angle H, angle J

Explanation: The shortest side is always across from the smallest angle and the longest side is always across from the largest angle. For instance, since RQ is the shortest side, angles N is the smallest angle, and since NR is the longest side, angle Q is the longest angle. Because of this, the order of angles from least to greatest is angle N, angle R, and angle Q.

The solution is

a) Angle N < Angle R < Angle Q

b) Angle G < Angle H < Angle J

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

a)

Let the first triangle be ΔNQR

QR = 17 m

NQ = 21 m

NR = 24 m

Now , the angle opposite to the side having the largest length will be the largest angle

And , the angle opposite to the side having the smallest length will be the smallest angle

So , substituting the values in the equation , we get

Angle opposite to QR = Angle N

Angle N is the smallest angle in ΔNQR

And , Angle opposite to NR = Angle Q

Angle Q is the largest angle in ΔNQR

Therefore , Angle N < Angle R < Angle Q

b)

Let the second triangle be ΔGHJ

HJ = 6 in

GJ = 7 in

GH = 10 in

Now , the angle opposite to the side having the largest length will be the largest angle

And , the angle opposite to the side having the smallest length will be the smallest angle

So , substituting the values in the equation , we get

Angle opposite to HJ = Angle G

Angle G is the smallest angle

Angle opposite to GH = Angle J

Angle J is the largest angle

Therefore , Angle G < Angle H < Angle J

Hence , the angles are in the order

a) Angle N < Angle R < Angle Q

b) Angle G < Angle H < Angle J

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Which of the ratios below is equivalent to 8:5?

Answers

Answer:

Nobody can answer this question if you don't tell us what are the ratios that are 'below'. We have no answers to choose from...

pls help asap thx alot​

Answers

Answer:

35

Step-by-step explanation:

A triangle has a total of 180 degrees. To find the missing angle, we subtract 113 and 32 from 180 to get the answer.

Answer:

h = 35

Step-by-step explanation:

113 + 32 + h = 180

113 + 32 = 145

180 - 145 = 35

so

h = 35

remember me? Imao

At the grocery store, LaKeisha buys 3 oranges, 2 cans of soup, and 1 box of cereal. The oranges cost $0.79 each, the soup costs $1.29 per can, and the box of cereal costs $3.49. Write an expression to represent the cost of LaKeisha's groceries with the terms in the order they were described. *

Answers

Answer:

2.37x + 2.58y + 3.49z

Step-by-step explanation:

The expression would be

Let us assume the organges be x

Soup be y

And, the cereal be z

Their cost would be $0.79, $1.29 and $3.49 respectively

Now as per the question

the expression would be

= 0.79 × 3x + 1.29 × 2y + 3.49 × z

= 2.37x + 2.58y + 3.49z

answer, please. I need help.

Answers

Answer:

Step-by-step explanation:

[tex]\text{rule }(x^a)(x^b)=x^{(a+b)}\\ \\ (b^{-7})(b^3)=b^{(-7+3)}\\ \\ b^{-4}=\frac{1}{b^4}[/tex]

Answer:

1/ b^4

Step-by-step explanation:

because -7 +3 = -4 but it can only be positive. So you but the -4 to the bottom to become b^4

what is 20 precent of 25​

Answers

Answer:

20 percent *25 = x( 20:100)*25 = x( 20*25):100 = x500:100 = x

5 = x

hence , 20 percent of 25 is 5 .

its r9ght here just look at ut​

Answers

Answer:

its 400 . 1200 divided by 3 in 400.

Step-by-step explanation:

A theater is being designed to hold
700
700 people. The first two rows are shown. There are
20
20 seats per row in the Main Section and
4
4 seats per row in each Wing.

How many rows will they need to seat
700
700 ?

Answers

Answer:

well, if you renovate the building, you'll only need 1000 rows to seat all 700,700 people.

Step-by-step explanation:1st, youre going to need a good construction crew that is slightly compotent, then, you will need t demolosh said building, to make room for the other building. once the previous building is demolished, you can then start working with your construction team to build the new building. this building will have 1000 rows that each seat 701 people. once the building is constructed, you need some advertising for your new show, so put up billboards. once 700,700 tickets are bought, close the ticket window, and finish up with snack and drink sales at the front. wait twenty minutes for all the guests to find their seat, make a good introduction, and then signal the director to start the show.

A street sign is 7 feet 2 inches tall. How tall is it in inches?

Answers

Answer:

86 inches

Step-by-step explanation:

7 feet •12 inches= 84 inches

84 in. + 2 in. = 86 in.

Other Questions
An investor believes that the U.S. dollar will rise in value relative to the Japanese yen. The same investor is considering two investments with identical risk and return characteristics. One stock is trading in yen in Japan and the other stock is a stock trading in dollars in the United States. Should the investor purchase the Japanese stock? One of the greatest dangers in a tornado is from flying objects. A 15 pound piece of lumber can turn into a flying missile that could severely damage walls and homes. A piece of steel with a mass of 200 pounds and travelling at the same velocity would cause even more damage. Select any evidence from the list below that you could use to explain why a 200 pound piece of steel would cause more damage than a 15 pound piece of wood travelling at the same velocity. As the kinetic energy of an object increases, the force it can exert on another object decreases.As the kinetic energy of an object increases, the force it can exert on another object increases.Objects with more mass have less kinetic energy.Objects with more mass have more kinetic energy.As the velocity of an object increases, its kinetic energy decreases.As the velocity of an object increases, its kinetic energy increases. A square notepad has sides that are 14 centimeters long. What is the notepads perimeter? Why is it important to deconstruct media messages?A. To determine the primary language of the person in a commercialB. To calculate the price of producing advertisementsC. To estimate the groups of people who will be exposed to anadvertisementD. To understand the stated and unstated messages of a commercial Walmart initially used a focused cost leadership strategy to compete only in small communities by using sophisticated logistics systems and efficient purchasing practices to gain a competitive advantage. The response of local competitors was __________ because they __________. a. rapid; were nimble and flexible b. slow; lacked the ability to marshal resources c. rapid; perceived gains from responding to Walmart's attack d. rapid; had the resources and flexibility to compete against Walmart Please answer Ill make brainliest If a= 2, b=3, and c=1 find the value of the each of the followingquestion:5aPLEASE ANSWER THIS IS AN EXAM help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssswhat is the volue of j? What is meant by a private prosecutor?Early in the twentieth century, American victims families were able to hire their own attorneys to prosecute alleged criminals in order to receive any justice at all.A German practice left over from the eighteenth century legal system in which victims became their own prosecutors in family court.A standard practice in eighteenth century England in which the victims family hired its own prosecutor to bring charges against an alleged criminal.An attorney hired by a private individual or family today to charge, try, and punish criminals for crimes committed against their families.ANSWER: C) A standard practice in eighteenth century England in which the victims family hired its own prosecutor to bring charges against an alleged criminal. The same survey database cited in exercise 4.3.1 (A-5) shows that 32 percent of U.S. adults indicated that they have been tested for HIV at some point in their life. Consider a simple random sample of 15 adults selected at a time. Let X be the number of adults who have been tested for HIV in the sample. For the following, find the numerical answer and describe the answer in words:a. Three b. Between five and nine, inclusive c. More than five, but less than 10 d. Six or more e. Less than five f. Find the mean and the variance of the number of people tested for HIV in samples of size 15. The sum of three times the value of X and two is equal to four less than five times the value of X.which equation can be used to find value of X Why is taxonomy important to scientists? What was a more effective means to move an aircraft left or right and also provided lateral balance?a. Pylonsb. Aileronsc. Tandemd. Porthole Why do ionic compounds conduct electric current when they are dissolved in water? The square below represents one whole.What percent is represented by the shaded area? How can two physically healthy parents produce a child with Down syndrome and a second child with Klinefelter syndrome? Dog feeder - Depending on their weight and age, we need to know how many pounds of food to feed our dog each day! /* Use the hungryDog function and feeding requirements below to do the following: 1. Invoke the hungryDog function below and pass it a weight value in pounds 2. Also, pass to hungryDog an age value in years (note: if the dog is a puppy, the age will be a decimal. For example: three months = 3/12 or .25) 3. Do the proper calculations and return the number of pounds of raw food to feed the dog/puppy in a day How does scarcity affect the economic decisions of a society?It forces the society to choose how to best use its limited resources.It encourages the society to take actions that benefit producers rather than consumers.It leads the society to create a command economy in which supply and demand do not set the prices of goods.It pushes the society to discourage its people from making trade-offs because trade-offs increase scarcity. which of the following best describes the cause world war 1 24. Name one thing James Allred did as governor. 25. Name one accomplishment of Lawrence Nixon.