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

What Is The Equation Of The Line That Passes Through (4, 3) And (-4,-1)?

Answers

Answer 1

Answer:

[tex]\implies y = \dfrac{1}{2}x + 1 [/tex]

Step-by-step explanation:

Given :-

Two points (4,3) and (-4,-1)

And we need to find out the equation of the line passing through the given two points .So here we can use the two point form of the line as ,

[tex]\implies (y - y_1) = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1) [/tex]

Let us take that ,

[tex](x_1,y_1)=(4,3) [/tex][tex](x_2,y_2)=(-4,-1)[/tex]

Now substitute the respective values ,

[tex]\implies (y -3) =\dfrac{3+1}{4+4}(x-4) \\\\\implies y - 3 =\dfrac{4}{8}(x-4) \\\\\implies y -3=\dfrac{1}{2}(x-4) \\\\\implies y -3=\dfrac{1}{2}x - 2 \\\\\implies y = \dfrac{1}{2}x +3-2\\\\\implies y = \dfrac{1}{2}x + 1 [/tex]

Hence the correct option is (2) .


Related Questions

Jessica and two friends spent $36.93 on dinner. They left a $6.00 tip. How much money did each person spend if they split the bill and tip equally?

Answers

Answer:

14.31

Step-by-step explanation:

Three yrs hence, a men will be three time his brother age and the sum of present age is 18 find their present age

Answers

Answer:

Step-by-step explanation:

Let the age of a man = x

Age of his brother = y

Three yrs hence, a man will be three time his brother age

This is written as:

x + 3 = 3(y + 3)

x + 3 = 3y + 9 .... Equation 1

The sum of present age is 18

= x + y = 18

x = 18 - y

We substitute 18 - y for x in Equation 1

find their present age

18 - y + 3 = 3y + 9

Collect like terms

21 - 9 = 3y + y

12 = 4y

y = 12/4

y = 3 years

x = 18 - y

x = 18 - 3

x = 15 years

The triangular face of the given prism has an interior angle with a measure of 55° and an exterior angle with a measure of 95°. What is the measure of the marked interior angle?

Answers

Answer:

40 degrees

Step-by-step explanation:

sum of angles in a triangle = 180 degrees

if the exterior angle measures = 95, the interior angle beside it would measure 180 - 95 = 85

marked interior angle = 180 - (85 + 55) = 40 degrees

Answer:

As ewomazinoade states 40° should be the correct answer.

PLEASE HELP ASAP!! will mark brainlest

Answers

Answer:

B!!!!!

Step-by-step explanation:

Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.

Answers

Answer:

hi

Step-by-step explanation:

omhg hi

What are some websites that someone does your math assignment for you help ASAP

Answers

Answer :

You can only search for answers or pay for someone to do your assignments

A triangle has sides with length of 11 feet 12 feet and 13 feet. Is it a right triangle

Answers

Answer:

No

Step-by-step explanation:

It will be a right triangle if it follows Pyhthagoras Theorem . Where the sum of squares of two smaller sides is equal to the square of the 3rd side. Let's check ,

11²+ 12² = 13²

→ 121 + 144 = 169

→ 265 ≠ 169

Hence the ∆ is not a right angled triangle


Two sides of a parallelogram are 65 feet and 87 feet. The measure of the angle between these sides is 52°. Find the area of the parallelogram to the nearest square foot.

Answers

Answer:

Area of the parallelogram is approximately 4,456.2 square feet

Step-by-step explanation:

The lengths of the sides of the parallelogram are 65 feet and 87 feet

The measure of the angle between the sides, Y = 52°

The formula for finding the area of a parallelogram is given as follows;

Area of a parallelogram = A·B·sin(Y)

Where;

'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them

Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;

Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²

What is the midpoint of (6,3) and (-3,-7)​

Answers

Answer:

(Xm, Ym) = [ x1+x2/2, y1 + y2/2]

Given (6,3) (-3,-7)

x1 y1 x2 y2

Step-by-step explanation:

(Xm,Ym) =[ 6-3/2, 3-7/4]

= [ 3/2, -1]

Hi for this I got; (1.5, 2)

When Cosmo wears his new shirt properly as shown below, the horizontal stripes form seven closed rings around his waist. This morning he buttoned his shirt incorrectly, as shown on the right. How many closed rings were there around Cosmo's waist this morning?

Answers

Answer:

6

Step-by-step explanation:

It is given that Cosmo bought a new shirt which have several horizontal strips printed on the shirt that forms horizontal rings when the shirt is buttoned up. When Cosmo rightly button up the shirts, the horizontal strips forms seven closed rings.

One day when Cosmo wrongly wear the shirt and wrongly buttoned up the shirt, the horizontal strips on the shirt did not matched properly.

So as seen from the figure, when Cosmo wrongly button up the shirt, the closed strips forms 6 horizontal rings around Cosmo's waist.

What is the volume of the pyramid in the diagram?
9 cm
height = 3 cm
5 cm
S cm
OA 25 cm3
OB.
75 cm
O C.
105 cm
OD. 135 cm
E.
225 cm

Answers

Answer:

A. 25 cm^3.

Step-by-step explanation:

Volume = 1/3 * area of base * perpendicular height,

= 1/3 * 5^2 * 3

= 5^3

= 25.

The correct option is A. Volume of the pyramid is 25 cm³ which is option A.

What is the volume of the pyramid?

The volume of a pyramid is given by lbh/3. It is also given by the product of the base area and height of the pyramid and then divided by 3.

The base of the pyramid is in the form of a square as all sides are 5 cm. Find the area of the square that is the base area.

5×5=25 cm²

Now multiply 25 by the height of the pyramid which is 3 cm.

25×3=75 cm³

Divide 75 by 3 to find the volume of the pyramid.

75÷3=25 cm³

Thus, the volume of the pyramid is 25 cm³ which is option A.

Learn more about the volume of the pyramid at https://brainly.com/question/17615619

#SPJ2

Which expression is equivalent to 6k? – 7k – 20?
A (3k-4)(2k-5)
B (6k-5)(6k+4)
C (3k+4)(2k-5)
D (3k+4)(3k+5)

Answers

Answer:

Your answer is C, (3k+4)(2k-5)

Step-by-step explanation:

Please help I give out brainliest .....Kellie bought 8 towels and spent $39.60. Each towel costs the same amount.
Part A
Use the drop-down menus to create an equation that can be used to determine t, the
price, in dollars, of 1 towel.
+
8
39.60
V
Part B
What is the price, in dollars, of 1 towel?
Enter your answer in the box.

Answers

Answer:

Each Towel is 4.95 each

Step-by-step explanation:

We can use 8t = 39.60 as our equation

8t = 39.60

Divide 8 on both sides.

t = 4.95

Hope this helps! ^^

Enter the value of 3 over 4

Answers

Answer:

1. Three fourths

2. 3/4

3. 0.75

4. 75%

Step-by-step explanation:

i dont know which one you want

Answer:

.75

Step-by-step explanation:

3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75

. The product of two integers is -84. One of them is 4, find the other integer.​

Answers

Answer:

Answer :-

Product of two integers = - 84

One integer = 4

Other integer = x

[tex]4 \times x = - 84 \\ 4x = - 84 \\ x = \frac{ - 84}{4} \\ x = - 21[/tex]

⎆ The value of the other integer is - 21

A type of fish for your aquarium costs $9 each. You can spend at most $63.
Write an inequality to model the problem.

Answers

Answer:

9x>63$

Step-by-step explanation:

nine $ aquarium , at most > 63$

Annie earns $320 for 8 hours of work. At that rate, how long would she have to
work to earn $1,120?

Answers

Answer:

28 hrs

Step-by-step explanation:

in 8 hrs she earns $320,

so in 1 hr she earns $320/8=$40

no. of hrs she takes to earn $1120 is,

=1120/40= 28 hrs

Annie would need to work 28 hours to earn $1,120 at the same rate.

To determine how long Annie would have to work to earn $1,120 at the same rate, we can set up a proportion based on the given information.

Let's define:

x = the number of hours Annie needs to work to earn $1,120.

According to the information given, Annie earns $320 for 8 hours of work. This can be expressed as the rate: $320/8 hours.

We can set up the proportion as follows:

320/8 = 1120/x

To solve this proportion, we can cross-multiply and then solve for x:

320x = 8 * 1120

320x = 8960

Dividing both sides of the equation by 320:

x = 8960/320

x = 28

Therefore, Annie would need to work 28 hours to earn $1,120 at the same rate.

To know more about earn here

https://brainly.com/question/30157678

#SPJ2


HELP I NEED HELP QUICKLY PLEASEEEE

Answers

x= 11
A= 61
B=107
C=12
I hope it’s correct. Please correct me if it’s wrong. I upload a picture of my work.

A farm allows customers to cut their own Christmas trees. The farm uses the equation y = 15x + 10 to determine the total charge, Y,
based on the number of trees, x, the customer purchases. A customer was charged $460. How many trees did the customer purchase?

a- 10 trees
b- 30 trees
c- 31 trees
d- 15 trees

Answers

Answer:

Step-by-step explanation:

The answer would be b, 30 trees, the reasoning is in the photo, hope this helps!

hii! please help asap. i’ll give brainliest!

Answers

Answer:

D

Step-by-step explanation:

I've had these kind of questions on tests

Answer:

Your answer is D

Step-by-step explanation:

The median of a box and whiskers plot is marked by a vertical line inside the box.


A sweater regularly priced at $135 is on sale at 15% off. How much would you pay
for the sweater, including taxes of 13%?

Answers

$129.66.
you just figure out 15% of 135 which is 20.25 so you subtract that from 135, which gives you $114.75. then you just do 114.75 times the tax % and it totals out to be $129.66

Ken has 7 baseballs. Each baseball weighs 0.3 pound. Ken wants to use this

model to find the total weight of the baseballs. Each hundredths block in the

model represents 1 whole.

Use the drop-down menus to explain how Ken can use the model to find the total

weight of the baseballs. Click the arrows to choose an answer from each menu.

To represent the weight of one baseball, 0.3 pounds, Ken should shade 3

Choose...

To represent the weight of all of the baseballs, he should

shade this amount Choose... times. The shaded part of the model will represent

the expression Choose... The total weight of the baseballs is 7.3

pounds

My Progress

Answers

Answer:

2.1 pounds

Step-by-step explanation:

Given that :

Number of baseballs = 7

Weight of each baseball = 0.3 pounds

1 block = 0.1 pounds

Hence, each ball will represent 0.3 / 0.1 = 3 blocks

Hence, 3 blocks = 1 ball

7 balls will be : 3 * 7 = 21 blocks

Recall:

1 block = 0.1

Hence, 0.1 * 21 = 2.1

Therefore, the weight of the 7 balls = 2.1 pounds

A full waterbed mattress is 8 ft by 3 ft by 2 ft. The mattress is to be filled with water that weighs 62.4 lb ft3. Find the weight of the water in the mattress to the nearest pound.

Answers

Answer:

2995

Step-by-step explanation:

volume is 48^3

theres 62.4 pounds per square ft

What is the correct algebraic representation of the transformation displayed on the graph?
A- (y,-x)
B- (-y,x)
C- (-x,y)
D- (-x,-y)​

Answers

Answer:

[tex]transformation: (y,-x)[/tex]

----------------------------

hope it helps...

have a great day!!

A triangle has vertices of (−3, 3), (−3, 2), and (1, −2). What are the coordinates after dilating from the origin by a scale factor of 1 2 ?

Answers

Answer:

(-1.5, 1.5), '(-1.5, 1) and (0.5, -1)

Step-by-step explanation:

Given the coordinate (x, y) If dilated by a factor k, the resulting coordinate will be (kx, ky).

Similarly given the coordinates of a triangle  (−3, 3), (−3, 2), and (1, −2)

when dilated by a factor of 1/2, the new coordinates will be at;

A (-3, 3) = A'(1/2*-3, 1/2 * 3) = A'(-1.5, 1.5)

B (-3, 2) = B'(1/2*-3, 1/2 * 2) = B'(-1.5, 1)

C (1, -2) = C'(1/2*1, 1/2 * -2) = C'(0.5, -1)

HOW TO DO THIS QUESTION PLEASE ​

Answers

Tot ratio=11
330/11=30
So Ed pay 7x30=210
Fay pays 4x30=120

For Ed to give Fay money so they r equal, he would need to give $45 so that they both are at 165.

4
How would you tell someone to plot (4,-3)?
pick the two best answers
1
go right 4
go left 4
go up 3
go down 3
What I pic

Answers

Step-by-step explanation:

go right 4

go down 3

it is the answer

AREA OF A CIRCLE HELP PLS​

Answers

Answer:

254.34 in²

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex]

d = 18 inches, so r = d/2 = 9 inches

Area = 3.14 * 9 * 9

= 254.34 in²

AREA OF CIRCLES HELP PLS​

Answers

Answer:

a=π9² is the formula with the radius plugged in

radius is half

Answer:

243in^2

Step-by-step explanation:

18/2=9

3 x 9 x 9=243

HELP ME I BEGGGG THANK U PLEASE ITS DUE

Answers

Answer:

y=6x+24

Step-by-step explanation:

Other Questions
When the founders were creating a new American government, the abusesof power from a single ruler were fresh in their minds. They didn't wantanother king! So the United States government was designed to prevent anysingle person or group from becoming too powerful. We call this idea"separation of powers."The Constitution separates the government's power into three branches.Each branch has separate responsibilities, but they all must interact witheach other in different ways. This separation of powers includes a system ofchecks and balances, which are ways that each branch can limit the others.Based on the passage, the founders of the United States would most likely agree withwhich of the following statements?AKings do not have enough power.BKings can take advantage of their power.A government should have few checks and balances.DThe branches of government do not need to interact. A 45-year-old male patient presented to the emergency department at 2 AM with vomiting and abdominal pain. He had a 2-week history of polyuria and polydipsia, accompanied by a 9 kg weight loss and blurred vision. His medical history was unremarkable, except for being treated for hypertension with amlodipine 10 mg daily, which provided good control. (His blood pressure on admission was 135/80.)Results of hospital laboratory studies revealed that the patient's initial blood glucose level was 350 mg/dL. The patient reported no family history of diabetes. His father died at age 35 of renal failure#4)What are the clinical indicators of the desired outcome? ?? what legislation passed and was signed into law partially as a result of the March on Washington? 4. PART B: Which section from the text best supports the answer to PartA?A "He met a lot of different people on his trip and learned a lot aboutIslam and the fight against colonialism." ( Paragraph 9)B "He also met a lot of white people that he considered brothers andallies in the fight for civil rights, and he returned to the UnitedStates with a different attitude." ( Paragraph 9)C "His home was firebombed with his four daughters inside, butluckily they were able to escape unharmed." ( Paragraph 10)DThey portrayed him as a violent troublemaker who hated whitesociety." ( Paragraph 11) What characteristic is responsible for our brain being able to distinguish different colors?Options:Each color is a different wavelength of lightEach color of light has a different amplitudeLight changes colors as it goes through the different mediums between the air and our eyesEach color has a different speed Santiago likes and identifies with the sea turtles for all the following reasons except __________.sea turtles prey on the dangerous Portuguese men-of-war in the oceansea turtles fight off sharks that prey on fishermen and their catchSantiago has a heart and hands and feet just like sea turtles doSantiago eats the white eggs of sea turtles to give himself strength Look at the diagram below. It shows two solutions separated by a partially permeable membrane. Which number arrow shows the direction in which water molecules will move? write email telling about your friend would like to taste know about malaysian cuisines Use Pythagorean Theorem to determine if the threegiven sides create a right triangle.15 m, 8 m, 17 mShow your work HELP! can anyone help? Im pretty stuck and the answer isnt 2,700.. Ill give Brainly please :( In the 1800s, you do not need to be a citizen to vote in the state of Oregon. Instead, voting is tied to the length of ones residency in the state. But with a recent influx of immigrants from China and Hawaii, white racist lawmakers are growing uneasy about the exercise of political power by nonwhite residents. Predict how white Oregon lawmakers prevented Chinese and Hawaiian immigrants from voting while maintaining the rights of Dutch, German, or Norwegian immigrants to vote. The Third-Class Carriage by Honore Daumier. A crowd of working class Parisians sit in a dirty railway carriage. A woman breastfeeds her baby next to a woman holding a basket and a sleeping little boy. How does the artist create the mood in the piece above? Property that a business uses to secure a loan is Help with this question!Please Will give 30 pts Which structure carries the semen to the penis?sperm ductglandsscrotumtestes 84A gold bar is similar in shape to a rectangular prism. A gold bar is7 1approximately 7 in.x3 in.x1 in. If the value of gold is $1,214 per ounce,about how much is one gold bar worth? Use the formula w 11.15n, where wis the weight in ounces and n=volume in cubic inches, to find the weight inounces. Explain how you found your answer. Explain how these events during the reconstruction era affected the United States both at the time and for decades to come? WILL GOVE BRAINLY All but one of the following is a component of nucleus acids. Nucleus acids do not contain In which region are most member-nations of the Organization of Petroleum Exporting Countries(OPEC) located write about the Percy Jackson book please help ill give you brailiest