find the equation of the line passing through the point (2, -4) that is parallel to the line y=3x+2​

Answers

Answer 1

Answer (assuming it can be put in point-slope format):

[tex]y + 4 = 3(x-2)[/tex]

Step-by-step explanation:

You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, [tex]y-y_1 = m (x-x_1)[/tex].

1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or [tex]y = mx + b[/tex]. The coefficient of the x term, or [tex]m[/tex], represents the slope - so, the slope must be 3.

2) Now, use point-slope formula,[tex]y-y_1 = m (x-x_1)[/tex],  to write the equation. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute 3 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for [tex]x_1[/tex] and -4 for [tex]y_1[/tex]. This gives the following answer:

[tex]y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)[/tex]


Related Questions

A Data Scientist of a Fortune 500 banking firm is looking at the relationships between various age groups of adults and types of investments portfolios. He is looking at a Chi Square distribution in his statistical software. What is the probability that x is larger than 12 when df = 19?

Answers

Answer:

The probability that x is larger than 12 when df = 19 = 0.100

Step-by-step explanation:

We are supposed to find the probability value at x>12 at degree of freedom equals to 19.

P(x>12)

By looking at the chi square table we can see, at df = 19 and x>12, P(x>12) is equal to 0.100

because at df = 19, the least x values is 27.2036 for which (Px=27.2036) or (Px>12) = 0.100

-X – 3, solve for a when g(x) = 6.
PLSSS

Answers

the answer is -9 when g(x) is 6

Solve for x.
x² = 9

x=±3

x=±4.5

x=±18

x=±81

Answers

I pretty sure x equals 3

HELP ASAP!! What is angle 1 called??

Answers

Your right it’s an obtuse angle

what percent of 467.00 80%​

Answers

Answer:

80% of 467 is 373.6

Step-by-step explanation:

Answer:

I beleive the answer to your question is 373.6.

Step-by-step explanation:

80% of 467 is 373.6. Or your answer is 93.4. because 373.6 minus 467 is 93.4

Akili has two tests next week. The probability that he will pass the first test, science, is 3 4 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 4 5 ; otherwise, the probability is only 1 3 that he will pass the math test. What is the probability he passes exactly one test

Answers

Answer:

0.2333 = 23.33% probability he passes exactly one test

Step-by-step explanation:

We have these following probabilities:

3/4 probability that he passes the first test.

If he passes the first test, 4/5 probability that he passes the math test.

If he does not pass the first test, 1/3 probability that he passes the math test.

What is the probability he passes exactly one test

Two scenarios:

Pass first(3/4 probability) and fails second(1/5 probability).

Fails first(1/4 probability) and passes second(1/3 probability). So

[tex]p = \frac{3}{4}*\frac{1}{5} + \frac{1}{4}*\frac{1}{3} = \frac{3}{20} + \frac{1}{12} = \frac{9 + 5}{60} = \frac{14}{60} = 0.2333[/tex]

0.2333 = 23.33% probability he passes exactly one test

Determine whether the given value is a solution of the equation. Show your work.

21 = x − 5; x = 16

Answers

Step-by-step explanation:

No Not an answer

21=x-5

x=26

As part of an economics class project, students were asked to randomly select 500 New York Stock Exchange (NYSE) stocks from the Wall Street Journal. As part of the project, students were asked to summarize the current prices (also referred to as the closing price of the stock for a particular trading date) of the collected stocks using graphical and numerical techniques. Identify the sample of interest for this study. Group of answer choices

Answers

Answer: The 500 NYSE stocks that current prices were collected from

Step-by-step explanation:

The sample of interest simply means a representation of the population. With regards to the information given pertaining to the question, the sample of interest will be "The 500 NYSE stocks that current prices were collected from".

The 500 NYSE stocks represents the total NYSE stocks that are available.

4-(-5)
Integer Rules

Answers

Step-by-step explanation:

4-(-5)

= 4+5

= 9

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

Please help I don’t get it

Answers

Answer:

y = 2x ± 3

························

Step 1.  The first blank is found at the point in which the line crosses the x- axis

Step 2. The second blankis found at the point in which the line crosses the y- axis

In this case those two points are 2 and 3

Hope this helped!

Question 3
5 1
Divide 6 • 12

Answers

Answer:

5/6 divided by 1/12 = 10.

Hope this helped!

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

(5/6)÷(1/12) = 10

Exits along interstate highways were formerly numbered successively from the western or southern border of a state. However, the Department of Transportation changed most of them to agree with the numbers on the mile markers along the highway. a. What level of measurement were data on the consecutive exit numbers

Answers

Answer:

The appropriate response will be "Ordinal".

Step-by-step explanation:

Consecutive exit figures would be quantified on either the 'ordinary' magnitude because they were represented progressively again from the southwestern boundary including its nation. There would seem to be a clear structure to also be accompanied whilst also numbering, as well as that there were no wide variation exit figures.

Simply the problem

(4×10⁵)(8.03×10-³) ​

Answers

Answer:

would be 32120000 or alternative form 3.212x10 and a 7 on top.

Step-by-step explanation:

3x+2x-13=47 solve for x

Please show the work

Answers

3x+2x-13=47
5x-13=47
5x=60
x=12

What's the area of the trapezoid?

Answers

Answer:

Mark brainliest please if i am correct one more brainliest please

Step-by-step explanation:

A=a+b

2h=15+25

2·5=100

Answer:

51.2

Step-by-step explanation:

plz mark me as brainliest

What is the total area? Use 3 for Pi.
Answer fast pls!! xx

Answers

Answer:

1318.8

Step-by-step explanation:

i got this

28 x 15=420

420 x 3.14= 1318.8

Answer:

243.37 in^2

Step-by-step explanation:

large rectangle=28x15=420  (now we need to deduct the circular areas)

circular area =7.5^2(3.14)=176.63  (radius^2xPi)   (this is for a full circle which accounts for the two semi circles)

420-176.63=243.37

Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind
of coin does she have?

Answers

24 dimes and 76 quarters lol

What are the solutions to the equation x2-12x + 20 = –20?

Answers

x = 2, 10

Solve value of x by factoring, getting

(x - 2)(x - 10) = 0

What is the value of x?​

Answers

Step-by-step explanation:

Given in the picture that,

2x + 2x + 2x + 2x + 2x = 11

So, by the problem,

=> 2x + 2x + 2x + 2x + 2x = 11

=> 10x = 11

[tex] => x = \frac{11}{10} or \: 1.1(ans)[/tex]

Hence required value of x is 1.1 (Ans)

HELP I WILL GIVE BRAINLYEST TO WHOEVER GETS IT RIGHT PPPPPPPPLLLLLLLLEEEEEEEEESSSSSSSSEEEEEEEEE

Answers

Answer:

3/8

Step-by-step explanation:

Answer:3/4 pretty sure

Step-by-step explanation:

I do not know but  that would be my answer

The diagram represents a 12 cm by 4 cm rectangle.

12 cm

4 cm

Calculate the area of the rectangle, giving the units of your answer.​

Answers

The formula for calculating the area of a rectangle is:

A = tw

So therefore:

A = (12)(4)

Area = 48 cm squared.

Help please

What is the value of b?

Answers

Answer:

3[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Find 'c' first by using the Altitutude Rule:

4/c = c/9

cross-multiply to get:

c = [tex]\sqrt{36}[/tex] or 6

Now you can find 'a' by using the Pythagorean Theorem:

4² + 6² = a²

a = [tex]\sqrt{52}[/tex]

Now you can find 'b' by using the Pythagorean Theorem:

([tex]\sqrt{52}[/tex])² + b² = (9+4)²

52 + b² = 169

b² = [tex]\sqrt{117}[/tex]

b = [tex]\sqrt{117}[/tex] = [tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{13}[/tex]

b = 3[tex]\sqrt{13}[/tex]

help please and thank youu

Answers

Answer:

c

Step-by-step explanation:

number number number number

Perform the
ect
1. Find the sum of 5x + 20 and the
opposite of 20.
Find the sum of 5x +20 and the opposite of 20

Answers

Answer:

[tex]Sum = 5x[/tex]

Step-by-step explanation:

Given

1: 5x + 20

2: Opposite of 20

Required

Find their sum

Suppose that a is a number; The opposite of a is -a. So, the opposite of 20 is -20.

Having said that:

The required sum is:

[tex]Sum = 5x + 20 + (-20)[/tex]

Remove bracket

[tex]Sum = 5x + 20 -20[/tex]

[tex]Sum = 5x[/tex]

After a discount of 30%, the sale price of a ride
pass at a fun park is $35. What was the original
price?

Answers

Answer:

Step-by-step explanation:

Its simple really, its 45.5

Since its a mark down and you want to find the original number, you have to multiply 35 by 1.3

35 x 1.3 = 45.5

Which then gives you 45.5

204 students went on a field trip. Four buses were filled and 8 students traveled in cars. How many students were on each bus?

Answers

Answer:

49

Step-by-step explanation:

204-8=196 in buses

each bus= 196÷4=49

Answer: 26


204 divided by 8=equals 25.5 so round to 26

Si un rectángulo con perímetro de 74 pulgadas tiene un largo de 5 pies más que el ancho,
¿cuáles son las dimensiones?

Answers

Perímetro del rectángulo = 74 pulgadas

Deje que el ancho del rectángulo sea 'x'.

Entonces, la longitud de este rectángulo = x + 5

We know that :

[tex]\color{hotpink}\tt \: Perímetro \: del \: rectángulo =\color{plum} 2 × (l + b) [/tex]

Lo que significa :

[tex] =\tt 2(x + x + 5) = 74[/tex]

[tex] =\tt 2(2x + 5) = 74[/tex]

[tex] =\tt 4x +10 = 74 [/tex]

[tex] =\tt 4x = 74 - 10[/tex]

[tex] =\tt 4x = 64[/tex]

[tex] =\tt x = \frac{64}{4} [/tex]

[tex]\color{plum} =\tt x = 16[/tex]

Por lo tanto, el ancho de este rectángulo = 16 pulgadas

Entonces, la longitud de este rectángulo :

[tex] =\tt x + 5[/tex]

[tex] = \tt16 + 5[/tex]

[tex]\color{plum} =\tt 21 \: pulgadas[/tex]

La longitud de este rectángulo = 21 pulgadas

Por lo tanto :

● Longitud del rectángulo = 21 pulgadas

● Ancho del rectángulo = 16 pulgadas

How tall are you in centimeters (1 inches =2.54)

Answers

Answer:

Im about 178 centimeters

Step-by-step explanation:

if you were to roll two standard six-sided dice, what is the probability that both land on a 3 or greater

Answers

Answer:

4/9

Step-by-step explanation:

P(≥3 and ≥3) = 4/6 x 4/6 = 4/9

Help ASAP NEED HELP

Answers

Answer:

Its C

Step-by-step explanation:

first you would do the square which would be 3x3 which is 9 next you would do the rectangle which is 9x3 which is 27

9+27=36

Other Questions
On a map, the scale is 1 inch to 400 miles. If thetrip from Corpus Christi to El Paso is 600 miles,how far apart will those cities appear on the map(in inches)? XYZ Inc. has a facility with six departments (A, B, C, D, E, and F). A summary of the processing sequence for 10 products and the weekly production forecasts for the products are given in the tables below. a. Develop the from-to chart based on the expected weekly production. b. Develop a block layout using SL The area oc an isoceles triangle is 44 square centimeters. Use the equation 1/2(8h)=44 to find the height of fhe triangle. Star girl Chapter #1i need help Explaining the unusual text feature that is used at the beginning of this novel. Why do you suppose the authorincluded it in this story? A magnet is different from a piece of iron that is not magnetic because _______ served in the U.S. House of Representatives for 50 years and worked hard on militarymatters.O a. Richard RussellO b. Carl VinsonO c. Adolf Hitler About 16 weeks ago, there were 59 mold spores found in a garden. After a few weeks of observation, it is determined that the number of mold spores in the garden is tripling every 8 weeks. The number of mold spores, M, at any given time in the garden is equal to the product of the initial amount of spores, I, and 3 to the power of n, where n is the number of times the amount of mold spores has tripled.How many mold spores are in the garden today?A. 1,593B. 354C. 387,099D. 531 Y= -8x + 10/9 what is the y intercept Does anyone know know the answers to these questions I will mark brainlest please help a girl out with these 2 questions thanks lol How does this amendment protect the individual liberties of the people? The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are reserved to the States respectively, or to the people. aPowers not delegated to federal government are reserved for the state and the people blimites the power of the government cExpresses concurrent powers dPowers not delegated to the state are given to the people what kind of substance is rust How do I know if it is integers or real numbers?Will give the brainliest to the first person (04.05 LC) In which of the following forms is carbon present in the atmosphere? Carbon dioxide Glucose Oil Water vapor U.S. Treasury bills are available for purchase this week at the following prices (based upon $100 par value) and with the indicated maturity: $97.75, 182 days. (1) Calculate the bank discount rate (DR) on this bill if it is held to maturity. (2) What is the equivalent yield to maturity (sometimes called the bond-equivalent or coupon equivalent yield) on this Treasury bill 3) Andy earned 1,000$. He used 25% to buy food and 50% to paythe rent. The rest he saved. How much money did he save? What is -5-3(-5x-3)-3x In the early days of China, before the rise of dynasties, early chinease civilizations were...A. large and wealthy cities in the Gobi DessertB. small farming villages along the Indus River VallyC. small farming villages along the Huang He River ValleyD. people living on the great wall of China PLEASE HELP I WILL GIVE BRAINLY THING Please Answer These Questions in Complete sentences.1. using complete sentences, explain why a dog and a wolf might be considered the same species. Then explain why they might not be considered the same species.2. explain how behavior might make two organisms unable to be part of the same species/population