what is the equation of the line that goes througtthe points (4,-1) and (2,3)?

Answers

Answer 1

Answer:

y = -2x + 7

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

recall   the two formulas

y = mx - b            slope-intercept

y - y1 = m(x-x1)     point-slope

with these  we can get the equation .  we also need to find the slope  m

m =  y2-y1 / x2-x1

m = 3 - (-1) / 2-4

m = 3 + 1 / -2

m = 4 / -2

m = -2

now with the slope known,  plug in either point into the point-slope formula and work to the slope-intercept formula, I'll use (2,3)  as the point to plug in.

y - 3 = -2(x-2)

y - 3 = -2x +4

y = -2x + 7

there.. that's your answer

y = -2x + 7  


Related Questions

Choose True or False A. There is 0.15 centimeter in 15 meters. B. Eight pounds is equal to 128 ounces. C. There are 108 inches in 9 yards. D. 16 kilometers is equal to 16,000 meters.​

Answers

Answer:

B

Step-by-step explanation:

Eight pounds are equal to 128 ounces.

A) False

B) True

C) False

D) True

Which graph best show a train pulling into a station to drop off its passengers?

Answers

Answer:

The answer is B

Because the train will stop and speed decreases with increasing time

Answer: B

Explanation:

i cant see the last graph but im pretty sure its B because you are slowing down in order for the train to come to a stop

Ms. Wang and her class are selling bags of cookies to raise money for a field trip.
Each bag weighs 140 grams and has 6 cookies.
Each cookie has the same amount of dough that weighs 14 grams.
Each cookie has the same amount of candy
If a bag of candy has 20 grams of Candy, how many bags of candy does the class need to make 18 cookies?

Answers

Answer:

9 bags of candy

Step-by-step explanation:

6 cookies at 14 grams each = 84 grams meaning the remaining grams of the 140 have to be the weight of the candy which = 56 grams (140-84). To find out how much candy is in one cookie divide 56 by 6 which = 9.33333. You then divide 20 by 9.3333 which = 2.14 (rounded to nearest 10th). Since you can get just over 2 cookies worth of candy per bag you only need half the number of cookies in bags of candy (9 bags)

What is the value of x?

Answers

Answer:

the value of x=69 ft approx.

Answer:

[tex]\Large \boxed{\sf 69.02 \ ft}[/tex]

Step-by-step explanation:

Solve for w  using Pythagorean Theorem

[tex]\displaystyle w=\sqrt{77^2-22^2} =33\sqrt{5}[/tex]

Solve for z  using Pythagorean Theorem

[tex]\displaystyle z=\sqrt{(87.5)^2-(33\sqrt{5} )^2} = 47.02[/tex]

Find value of x

[tex]x=VY+YK[/tex]

[tex]22+47.02=69.02[/tex]

What is the value of x?

Answers

Answer:

x=12

Step-by-step explanation:

All of the arcs have central angles.

Arc UR central angle is 10x.Arc RS central angle is x+61Arc ST central angle is x+63Arc TU central angle is x+80.

Since an arc's central angle measure equal the arc measure,

Arc UR measure 10xArc RS measure x+61Arc ST measure x+63Arc TU measure x+80

A circle measures 360 degrees so all the arcs added up will equal 360

[tex]10x + x + 61 + x + 63 + x + 80 = 360[/tex]

[tex]13x + 204 = 360[/tex]

[tex]13x = 156[/tex]

[tex]x = 12[/tex]

Please tell me the equation of the line below in slope intercept form

Answers

Answer:

y=3/2x+2

Step-by-step explanation:

i hope this helps :)

Which value for x satisfies the equation 3x – 6 = 15?
Ο Α. 3
O B. 7
O C. 18
O D. 27

Answers

Answer:

15-6=9

3÷9=3

Step-by-step explanation:

so it is A because if you ever see that just subtract the one number in front of the equal sign then divide the number beside the x.

Given y = 4x- 5. Express x in terms of y.​

Answers

Answer:

y+5/4 = x

Step-by-step explanation:

I think that this will get really messy if you integrate with respect to y.

Here is what I suggest you do.

=2+82−5y=2x+8x2−5

Evaluated at =1y=1 and =5y=5

1=2+82−5=21=2x+8x2−5x=2

5=2+82−5=1

5=2x+8x2−5x=1

∫10(5−1)+∫212+82−5−1∫01(5−1)dx+∫122x+8x2−5−1dx

Which triangles are similar Please helpppp quickkkkk

Answers

Answer:

Triangle A and Triangle B

calculate the tax amount they pay in a form of tax (tax =R14 850)​

Answers

Answer:

246373737

Step-by-step explanation:

good luck

help please! find m∠bcf

Answers

Answer:

BCF = 140°

See attached image.

Answer:

m<BCF=140°

Step-by-step explanation:

first find m<BCD

m<BCD=180-50-90

m<BCD=40°.

to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)

180-m<BCD=m<BCF

180-40=m<BCF

m<BCF=140°

Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 42m​-by-42m square. Val says the area is 1005.48 m^2. Find the area enclosed by the figure. Use 3.14 for pi. What error might Val have​ made?

Thanks in advance!
I don't have anymore points so please make a good and accurate answer.

Answers

Answer:

Area of the enclosed figure = 3148.74 [tex]m^{2}[/tex]

Step-by-step explanation:

Area enclosed by the figure = 2 x area of the semicircle + area of the square

For the semicircle,

radius = [tex]\frac{diameter}{2}[/tex]

          = [tex]\frac{42}{2}[/tex]

          = 21 m

area of a semicircle = [tex]\frac{1}{2}[/tex] x [tex]\pi r^{2}[/tex]

                                = [tex]\frac{1}{2}[/tex] x 3.14 x [tex](21)^{2}[/tex]

                                = 692.37 [tex]m^{2}[/tex]

area of a square = length x length

                            = 42 x 42

                            = 1764 [tex]m^{2}[/tex]

Thus,

area enclosed by the figure = 2 x 692.37 + 1764

                                              = 3148.74 [tex]m^{2}[/tex]

The total area enclosed bu the figure is 3148.74 [tex]m^{2}[/tex]

Solve for p.
9(p − 4) = −18

p =

Answers

Answer:

The answer is p = 2.

Step-by-step explanation:

1) Divide both sides by 9.

[tex]p - 4 = - \frac{18}{9} [/tex]

2) Simplify 18/9 to 2.

[tex]p - 4 = - 2[/tex]

3) Add 4 to both sides.

[tex]p = - 2 + 4[/tex]

4) Simplify -2 + 4 to 2.

[tex]p = 2[/tex]

Therefor, the answer is p = 2.

Answer:

p =2

Step-by-step explanation:

9(p-4) =-18

9p-36=-18

9p = -18 +36

9p = 18

divide both side by 9

p =2

Find the mean of the following set: 30, 16, 29, 14, 21

Answers

Answer:

the mean is 18.2, median is 16, and there is no mode

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

mean is the average of the number.you have to add up all the number then divide it by how many numbers there are.

your question is :30,16,29,14,21 (5 number)

(30+16+29+14+21) / 5 = 22

India has $100 and saves $18. each month China has $60 and saves 20 each month when will the girls have the same amount of money

Answers

After 20 months is the correct answer!Double-check:$18 x 20 = $360$360 + $100 = $460$20 x 20 = $400$400 + $60 = $460Please let me know if I am wrong.The names tho

What is the measure of angle D?

Answers

Answer:

m<D = 26

Step-by-step explanation:

<D = x

x + 122 + 32 = 180

x + 154 = 180

x = 180 - 154

x = 26

Answer:

Step-by-step explanation:

<D + 122° + 32° = 180° ( being sum of angles of triangle )

< D = 180° - 154°

< D = 26°

Percents! Please answer!!


Answers

Answer:

39%

Step-by-step explanation:

83-last price

83 last price

100 x ?

100 * last price = 83 . x

x= 39

(3x + 10) + (3x + 2)

Answers

Answer: 18

Step-by-step explanation: 3 + 10 = 13. 3 + 2 = 5. 13 + 5 = 18

Answer:

Step-by-step explanation:

3x + 10 + 3x + 2      add the like terms

(3x + 3x) + (10 + 2)

6x + 12     <--------------------  Final

A population of 430 animals increases at an annual rate of 19%. Find the number of animals present after 5 years. Round your answer to the nearest whole number.

Answers

19% of 430 is 81.7.

81.7 x 5 = 408.5

408.5 + 430 = 838.5

The population of animals present after 5 years is 838.5, but rounded to the nearest whole number would make it 839.

Answer:

1026

Step-by-step explanation:

Initial number = 430Increase rate = 19% = 1.19 times per year

Number of animals after 5 years:

430*1.19^5 = 1026

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

? = 36.87°

Step-by-step explanation:

sin ? = 36/60 = 0.6

? = 36.87°

what is 24.79 x 4,022 pls

Answers

Answer:

[tex]24.79 \times 4022 \\ = 99705.38[/tex]

Answer:

99705.38

Step-by-step explanation:

hope that helps

if correct plz plz mark as brainliest

thank you and have a good day

19NBoli

:)

The angle measure of angle LNM is __Degrees

Answers

Answer:

90 Degrees

Step-by-step explanation:

<LMN is an interior angle whose measure is equal to one-half the measure of its intercepted arc. Since the intercepted arc LN is the diameter of the circle, its measure is 180 degrees, so m<LMN = 90.

What is the value of 2a3 - a, when a = 4?

Answers

The value of the given equation is 124.

Calculation of the a value:

Since the equation is [tex]2a^3 - a[/tex] and a = 4

So, the value of a is

[tex]= 2a^3 - a\\\\= 2(4)^3 - 4\\\\= 128 - 4[/tex]

= 124

Hence, The value of the given equation is 124.

Learn more about the value here: https://brainly.com/question/4700495

_______ :21=5:7


10:100=_______:200



12:28=_________:7


48:_________=8:9


36:75=12:________


56:120=_______:8


2:4=________:2


45:________=15:20



_______:65=9:13


180:210=_______:35



63:_______=7:8



48:72=4:_______



________:100=6:10



36:108=6:________



3:________=1:3




_________:180=8:20



81:126=9:_______



________:33=2:3

Answers

Answer:

Step-by-step explanation:

1) 10:18=5:9

2) 15:21=5:7

3) 10:100=20:200

4) 12:28=3:7

5) 48:54=8:9

6) 36:75=12:25

7) 56:120=3.733:8

8) 18:24=6:8

9) 2:4=1:2

10) 45:60=15:20

11) 45:65=9:13

12) 180:210=30:35

13) 63:72=7:8

14) 48:72=4:6

15) 60:100=6:10

16) 36:108=6:18

17) 3:9=1:3

18) 72:180=8:20

19) 81:126=9:14

20) 22:33=2:3

Answer:

1. 15 :21=5:7

2. 10:100=20:200

3. 12:28=3:7

4. 48:54=8:9

5. 36:75=12:25

6. 56:120=3.73..:8

7. 2:4=1:2

8. 45:60=15:20

9. 45:65=9:13

10. 180:210=30:35

11. 63:72=7:8

12. 48:72=4:6

13. 60:100=6:10

14. 36:108=6:18

15. 3:9=1:3

16. 72:180=8:20

17. 81:126=9:14

18. 22:33=2:3

(1.) 4(x +2)=28

(2.) 2(x+4)=28


what dose x repsent​

Answers

1. 4 (x+2)=28

Simplifying

4(x + 2) = 28

Reorder the terms:

4(2 + x) = 28

(2 * 4 + x * 4) = 28

(8 + 4x) = 28

Solving

8 + 4x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 4x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 4x = 28 + -8

4x = 28 + -8

Combine like terms: 28 + -8 = 20

4x = 20

Divide each side by '4'.

x = 5

Simplifying

x = 5

2. 2 (x+4)=28

Simplifying

2(x + 4) = 28

Reorder the terms:

2(4 + x) = 28

(4 * 2 + x * 2) = 28

(8 + 2x) = 28

Solving

8 + 2x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 2x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 2x = 28 + -8

2x = 28 + -8

Combine like terms: 28 + -8 = 20

2x = 20

Divide each side by '2'.

x = 10

Simplifying

x = 10

Please help I will give you brainliest

Answers

Answer:

34

Step-by-step explanation:

please help quick!! i’ll give brainliest!!

Answers

Answer:

its the second one i belive

Step-by-step explanation:

Bob needs to tile his
kitchen floor. Each
tile is 12 inches by
12 inches. His kitchen
is 11 feet by 13
feet. How many tiles
will he need?

Answers

Answer:

143ft

Step-by-step explanation:

12in is 1 foot and 13x11 (11x13) is 143

Need help don’t know how to do this

Answers

I am not sure but I think the answer is 8

Find the value of x please

Answers

The answer to that problem is 54

Answer:

x=54

Step-by-step explanation:

55+54= 109

180-109=71

x+17=71

=54

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