Write an equation of the line that passes through each pair of points (- 2, - 3), (4, 5)

Answers

Answer 1

Answer:

y= 4/3x -1/3

Step-by-step explanation:

Find slope: y2-y1/x2-x1 = 5-(-3)/4-(-2) = 8/6 = 4/3

Use point slope to find the equation:

y - y1 = m ( x - x1 )

y - (-3) = 4/3 ( x - (-2))

y = 4/3x + 8/3 + (-3)

y = 4/3x + 8/3 - 9/3

y= 4/3x -1/3


Related Questions

Find how many solutions there are to the given equation that satisfy the given condition.
y1 +y2+y3+y4=27, each yi is a nonnegative integer.

Answers

Answer:

17550 solutions

Step-by-step explanation:

Given that:

y1 +y2+y3+y4=27

where;

(yi  ≥ 0 and yi [tex]\epsilon[/tex] [tex]{\displaystyle \mathbb {Z} }[/tex]  )

The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.

i.e

[tex]\bigg(^{27}_{4} \bigg)[/tex]

The number of nonnegative integer solution is [tex]\bigg(^{27}_{4} \bigg)[/tex]

[tex]= \dfrac{27!}{4!(27-4)!}[/tex]

[tex]= \dfrac{27!}{4!(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 \times 23 !}{4\times 3\times 2\times 1(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}[/tex]

[tex]= \dfrac{421200}{24}[/tex]

= 17550 solutions

pls help me it would mean a lot <3

Answers

I believe it would be y=2.5x

Have an amazing day :3

Answer:

The equation of the line will be:

[tex]y\:=\:\frac{2}{5}x[/tex]

Step-by-step explanation:

We know the slope-intercept of a line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given two points on a line graph

(0, 0)(25, 10)

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)[/tex]

[tex]m=\frac{10-0}{25-0}[/tex]

[tex]m=\frac{2}{5}[/tex]

We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept = b = 0

Now, substituting b = 0, and m = 2/5 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{2}{5}x+0[/tex]

[tex]y\:=\:\frac{2}{5}x[/tex]

Therefore, the equation of the line will be:

[tex]y\:=\:\frac{2}{5}x[/tex]

Please helpp I’ll give brainleist

Answers

Answer:

87 for lo and om is 56

Step-by-step explanation:

Answer:

<LON= 98 Degrees

Step-by-step explanation:

180-55(2)=70

70+28=98

27.1018494699 round to nearest hundred-thousandth

Answers

Answer:

27.101

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME ASAP

Answers

Sawyer you have to go to heaven and piper did you

True or false are all structures made by humans and why

Answers

Answer:

mostly. trees and most plants arent

Doe has 2 3/8 pounds of hamburger meat. He is making 1/4 pound hamburgers .Does doe have enough meat to make 10 hamburgers

Answers

He doesn’t have enough, he has 19/8 and needs 20/8 for 10 burgers, he’s missing 1/8 :)

Given the function f(x) = -x2– 7x + 18, determine the average rate of change
of the function over the interval – 10 < x < -1.

Answers

Answer: 4

Step-by-step explanation:

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11ft^3

Answers above on the picture^ thank you:)

Answers

Answer:

#3

Step-by-step explanation:

Assume that 12 jurors are randomly selected from a population in which 73% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities.

0 0+
1 0+
2 0.0001
3 0.0007
4 0.004
5 0.0172
6 0.0542
7 0.1255
8 0.2122
9 0.2549
10 0.2068
11 0.1016
12 0.0229


Find the probability of exactly 5 Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x=5)=



Find the probability of 5 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x≤5)=



Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?

no
yes

Answers

Answer:

I'm not sure if i'm correct but i'm guessing no

Step-by-step explanation:

what is 1234567654323456765432345678876543234567 times 1234567654321234567 times123456788765432345678765432345 times 4 mwahahahhahahahhahah

Answers

Answer:

I have no idea

Step-by-step explanation:

sigh

12345676543234567654323456788765 x 1234567654321234567 x 12345678876543234567876543234...

first you start with

12345676543234567654323456788765 x 1234567654321234567

=

1.5241573e+49

then you multiply the rest

1.5241573e+49 x 12345678876543234567876543234

=

1.8816757e+77

now times by 4

1.8816757e+77 x 4

=

7.5267028e+77

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

bro this was so hard , , ,

There are 125 people on a mountain trail. If 84% of the people on the trail are on a hiking tour, how many people are on the tour

Answers

Answer:

Total people on the tour will be: 105 people

Step-by-step explanation:

Total people on a mountain trail = 125

Given that 84% of the people on the trail are on a hiking tour.

We need to determine how many people are on the tour.

All we need is to multiply 84% or 0.84 by 125.

i.e.

People are on the tour = 84% × 125

                                      = 84/100 × 125

                                      = 0.84 × 125

                                      = 105 people

Therefore, total people on the tour will be: 105 people

Identify the radius of the circle.
Help ASAP pls!!!
*its hw*!

Answers

The radius is EG because it’s half the length of the circle.

A store is offering a discount on shorts of 23.4%.The original price of the shirt is $13.24.how much will you have to pay the clerk

Answers

Answer:

Step-by-step explanation:

Hi

Answer:

13.24

Step-by-step explanation:

Your buying a shirt not shorts

HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10

Answers

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

PLEASE HELP QUICKK
Which slopes could be the slopes of perpendicular lines?

Question 1 options:

1/2 and 2


8 and -1/8


2 and 2


1 and -1


0 and undefined

Answers

The answer would be:

8 and -1/8

1 and -1

And could be 0 and undefined, but I'm not 100% sure

Which expression is equal to 2xx−2−x+3x+5?

Answers

Answer:

It's the fourth one

Following are the solution to the given expression:

Given:

[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]

To find:

Expression =?

Solution:

[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]

Therefore, the answer is "last choice".

Learn more:

brainly.com/question/17079155

18% of what number is 22?

Answers

Answer:122.222222

Step-by-step explanation: hope this helps

can i have brainliest?  

WILL MARK BRAINLIEST PLS HELP
choose all of the points that are solutions to the equation y = x2 - 3x - 4

-4,0
-1, 0
0, -4
1, -6
1, 0
3, -7
pls

Answers

Answer:

-1,0

0,-4

1,-6

Step-by-step explanation:

plug in the first number into x and it gets you the second number

(-1, 0), (0, -4), (1, -6) points are solutions of the given quadratic equation.

What is a quadratic equation?

A quadratic equation is an equation where the variable has the highest power of 2.

Given equation is y = x² - 3x - 4

1. For (-4, 0), L.H.S = 0, R.HS = (- 4)² - 3(- 4) - 4 = 24.

Hence, (-4, 0) is not a solution of the given equation.

2. For (-1, 0), L.H.S = 0, R.HS = (- 1)² - 3(- 1) - 4 = 0.

Hence, (-1, 0) is a solution of the given equation.

3. For (0, -4), L.H.S = -4, R.HS = (0)² - 3( 0) - 4 = - 4

Hence, (0, -4) is a solution of the given equation.

4. For (1, -6), L.H.S = -6, R.HS = (1)² - 3(1) - 4 = -6.

Hence, (1, -6) is a solution of the given equation.

5. For (1, 0), L.H.S = 0, R.HS = (1)² - 3(1) - 4 = -6.

Hence, (1, 0) is not a solution of the given equation.

6. For (3, -7), L.H.S = -7, R.HS = (3)² - 3(3) - 4 = -4.

Hence, (3, -7) is not a solution of the given equation.

Learn more about quadratic equation here: https://brainly.com/question/2263981

#SPJ2


Lamar uses his credit card to purchase a new video game system for $375.19. He can pay off up to $175 per month. The card has an annual
rate of 19.2% compounded monthly. How much total interest will he pay?

Answers

Answer:

B

Step-by-step explanation: He will make two payments on the game system and then u divide the 175 with the 19.2 and that will give u the answer

answer the following correctly

Answers

Answer:

[tex] y = -\frac{10}{3}x - 23 [/tex]

Step-by-step explanation:

Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]

Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.

Thus:

-3 = (-10/3)(-6) + b

-3 = 20 + b

Subtract 20 from each side

-23 = b

b = -23

substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.

The equation of the line would be:

✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]

[tex] y = -\frac{10}{3}x - 23 [/tex]

solve the following inequality showing all steps -3n+7<4

Answers

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{-3n + 7 < 4}\\\\\textsf{SUBTRACT by 7 on your sides}\\\mathsf{-3n+7-7<4-7}\\\mathsf{Cancel\ out: 7-7\ because\ that\ gives\ you\ 0}\\\mathsf{Keep: 4-7\ because\ it\ helps\ us\ solve\ for\ our\ n \ value}\\\bf{{\mathsf{4-7= -3}}}\\\\\mathsf{New\ question: -3n<-3}\\\\\mathsf{DIVIDE\ both\ sides\ by\ -3}\\\mathsf{\dfrac{-3n}{-3}=\dfrac{-3}{-3}}\\\mathsf{Cancel\ out: \dfrac{-3}{-3} \ because\ gives\ us\ 1}\\\mathsf{Keep: \dfrac{-3}{-3}\ because\ it\ gives\ us\ our\ n\ value}[/tex]

[tex]\mathsf{New\ equation: n < \dfrac{-3}{-3}}\\\mathsf{\dfrac{-3}{-3} = -3\div-3 \rightarrow 1}\\\\\huge\textsf{Answer}\huge\downarrow\\\\\boxed{\boxed{\mathsf{Answer: n < 1}}}\checkmark\\\\\\\\\textsf{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Given the expression, 3(y + 1) + 2y, which of the following expressions is equivalent?
A
3y + 3

B
5y + 1

C
5y + 3

D
9y + 3

Answers

Answer:

C

5y + 3

Step-by-step explanation:

What is the value of x?
- (12 – 8x) = 5x +15 – 7x
Enter your answer in the box.
X=

Answers

Answer:

Step-by-step explanation:

-(12-8x)=5x+15-7x

-12+8x=5x+15-7x

8x+7x-5x=15+12

10x=27

x=27/10

Answer:

x = 27/10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-(12 - 8x) = 5x + 15 - 7x

Step 2: Solve for x

Distribute negative:                    -12 + 8x = 5x + 15 - 7xCombine like terms:                   -12 + 8x = -2x + 15Add 2x on both sides:                -12 + 10x = 15Isolate x term:                              10x = 27Isolate x:                                       x = 27/10

I don't understand math please help me

Answers

Answer: I cant really read the questions.

Step-by-step explanation:

The questions are a bit blurry can you post again

Seth has 2 ¾ candy bars to give away. If he gives each person ⅛ of a candy bar, how many people will get candy?

Answers

Answer:

22 people

Step-by-step explanation:

Change 2 3/4 into a fraction, 11/4.

Then divide by 1/8

11/4 x 8/1 = 22

Which point is a solution to this system of inequalities?
y 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D) (4,1)

Answers

Answer:

h

Step-by-step explanation:

Answer:

the answer is  c

Step-by-step explanation:

Don’t understand pls help

Answers

Answer:

-1.5x + 3

Step-by-step explanation:

The Y-intercept is visible, wherever the line is touching the Y-Axes is the intercept. Use this formula to solve for slope:

What is the value of the expression when a = 4, b = 3 , and c = 10?

3a4b−c


a 1

b 4

c 6

d 12

Answers

Answer:

3a4b-c

3(4)4(3)-10

12(12)-10

144-10

=134

Step-by-step explanation:

Answer:

134

Step-by-step explanation:

3×4=12

4×3=12

12×12=144

144-10=134

thats what I got

hope it helps

What is the length of the line?

Answers

Answer:

4 units

Step-by-step explanation:

Answer:3/4

Step-by-step “ time/ distance?

Other Questions
5x-3 /4=2x+3Pls help What percentage of African land was placed under European rule? Can someone help me out on this? SABER O CONOCERYococinar comida china muy bien Which expression shows the prime factorization of 30?2 x 3 x 53 x 5 x 73 x 5 x 52 x 2 x 3 Ms ser vs. estarChoose the best option the completes each sentence. DIANA 24. __________ (a. Est / b. Es) lloviendo!MIGUEL Claro, 25. __________ (a. est / b. es) otoo, no?DIANA Mmm... no me gusta la lluvia y tengo que ir al hospital. 26 __________ (a. Est / b. Es) muy lejos de la casa. MIGUEL Al hospital? 27. _________ (a. Ests / b. Es) preocupada por algo (anything)?DIANA No, el padre de No 28. __________ (a. est / b. es) mdico y 29. __________ (a. est / b. es) trabajando all.MIGUEL Juan y t 30. __________ (a. estn / b. son ) novios?DIANA No, l 31. __________ (a. est / b. es) muy enamorado de otra chica. Nosotros 32. __________ (a. estamos / b. somos) amigos.MIGUEL Oye, yo 33. __________ (a. estoy / b. soy) muy aburrido ahora, quieres ir a tomar un caf?DIANA No, lo siento, no puedo... tengo que ir al hospital. Quizs el fin de Why do you usually find domain names instead of IP addresses in a URL? Select one: a. An IP address would make your web page load more slowly b. A domain name is easier to remember C. An IP address is not guaranteed to get you to the right server computer d. Domain names are free, while IP addresses are very expensive What did Angelina Grimk encourage women to do?O A. Remain subordinate to menB. Refuse to help reform movementsC. Unite in the abolitionist causeO D. Respect established social roles Evaluate (27)-2 -2/3 Express your answer as a fraction in simplest form. The solution is whats the answer to (74n)6 How long does it take a plane, traveling at a constant speed of 123 m/s, to fly once around a circle whose radius is 4330 m? Which of the following statements about bonds is TRUE? A. A bond represents a share of ownership in a company, B. Bonds are considered relatively risky compared to stocks. C. Bonds pay out annual dividends. D. When a bond matures you get the full amount you loaned back with interest. what is an extensive prperty of matter ano po Ang tawag sakaisipang liberal na katumbas Ng kasarinlan How the nervous and endocrine systems maintain homeostasis? A group of kittens from the same litter with the same two parents are below. Which statement best shows why theoffspring would have different traits from each other?O aObSexual reproduction allows for uniformity among the offspring.Asexual reproduction allows for uniformity among the offspring.Sexual reproduction allows for diversity among spring.Asexual reproduction allows for diversity among offspring,Od What is the connection between these grievances and natural rights? **FIRST CORRECT ANSWER GETS BRAINLEST**y varies directly as x, and y = 0.5 when x = 0.4.A.) y = 4/5 x B.) y = 0.1 xC.) y = 5/4 xD.) y = 0.9 x What is 4y + 3x + 2y Which of the layers of the Earth has the following characteristics?i. It is solid and extremely hot.ii. It is the innermost layer of the Earth.iii. It is around 800 miles thick.A.outer coreB.inner coreC.crustD.mantle Please select the best answer from the choices providedABCD