In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). Which is the equation of the line? A) y = 1 2 x + 3 B) y = 2x + 3 C) y = 1 2 x − 4 D) y= 2x − 4

Answers

Answer 1

The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, in the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).

We know that, the formula to find the slope of a line is m=(y2-y1)/(x2-x1)

Substitute (x1, y1)= (0, 3) and (x2, y2)= (4, 5) in slope formula, we get

= (5-3)/(4-0)

= 2/4

= 1/2

Now, substitute m=1/2 and (x, y)=(0, 3) in y=mx+c, we get

3=1/2(0)+c

c=3

Put m=1/2 and c=3 in y=mx+c, we get

y=1/2 x+2

The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.

To learn more about the the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ2


Related Questions

Over what interval is the function decreasing?

PLS HELP. (step by step explanation preferred. )

Answers

Step-by-step explanation:

according to the drawing, the minimum value of the function is 0, the domain of the function decreasing is x < 0,

so, the correct answer is

a. (-oo, 0)

You and three friends go to the local fair. You each buy a $3 food ticket and a stamp for unlimited rides. If the total cost for the four of you is $32, how much does the stamp for unlimited rides cost?

Answers

Answer:

its should be 23

because

3x3 is 9

9+23=32

What is the distance between points (12,-5) and (-3,7)? (Hint: use the distance formula)

Answers

Answer:

point a is start with positive but point b start with negative

If a fair coin is tossed twice the possible outcomes are HH, HT, TH or TT, where HH means both tosses are heads and HT means that the first toss is a head and the second toss is a tail, etc. Since the coin is fair, a 50-50 chance of getting a head or a tail, we assign a probability of 1/4 to each of the four outcomes. Assuming that a fair coin was tossed twice, find the probability that both tosses were heads given that at least one of the tosses was a head. Round your answer to 4 decimal places.

Answers

The conditional probability value rounded to 4 decimal places is : 0.2500

The relation can be used to find the conditional probability of events given :

P(HH | Atleast 1 head) = P(HHn(Atleast 1 H)) / P(Atleast 1 H)

P(Atleast 1 H) = P(HT + TH + HH)

P(Atleast 1 H) = P(HT + TH + HH) = 3(0.25) = 0.75

P(HHn(Atleast 1 H)) = P(HH) × P(Atleast 1 H) = 0.25 × 0.75 = 0.1875

Therefore, the conditional probability can be expressed as :

P(HH | Atleast 1 head) = 0.1875 / 0.75 = 0.25

Therefore, P(HH | Atleast 1 head) is 0.25

Learn more : https://brainly.com/question/18153040

Someone please help me which one is it, and explain

Answers

Answer:

C. 11 customers

Step-by-step explanation:

The pattern is that it rises or goes up by 2 in the y axis, it runs or goes to the right once in the x-axis.

Eleanor has £50. Trevor takes £y. What’s an expression for how much Eleanor has got left?

Write down the answer, and don’t leave spaces, please.

Answers

Answer:

£50-£y or 50-y

Step-by-step explanation:

remaining = initial - taken

remaining = 50 - y

need an answer, please need an answer, please​

Answers

Answer:

[tex](x - 6)(x + 5) = {x}^{2} - x - 30 \\ or \\ a {x}^{2} + bx + c\\ {x}^{2} +( x_{1} + x_{2}) x + x_{1} .x_{2} \\ b = x_{1} + x_{2} = 5 - 6 = - 1 \\c = x_{1} .x_{2} = - 6 \times 5 = - 30 \\ \therefore \: {x}^{2} - x - 30[/tex]

you do the rest

The school auditorium has 438 seats. There are 18 rows of seats. What is the best estimate for the number of each seats in each row?

Answers

Answer:

24

Step-by-step explanation:

You take 438/18 to get 24.
The answer is 24

Help me ASAP pleasee!!!!!

Answers

Answer:

umm i think itz 16

Step-by-step explanation:

fycfyuyvt6vb

Answer:

X would be 16 since

x= 8

------

cos(8)

Write the equation of the line that passes through the points (3,19) and (-2,-16)

Answers

Answer:

y = 7x - 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-16 - 19 / -2 - 3

-35/-5

= 7

y = 7x + b

19 = 7(3) + b

19 = 21 + b

-2= b

Simplify The Expression

[tex]y^{17}[/tex] · [tex]y^{11}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]y^{28}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]y^{17} * y^{11}\\\rule{150}{0.5}\\\text{Note the exponent rule: } a^x + a^y = a^{x + y}\\\rule{150}{0.5}\\y^{17} * y^{11} = y^{17 + 11} = \boxed{y^{28}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

26
Convert to a mixed number.
3

Answers

Answer:

26/3 as a mixed number is 8 2/3

Step-by-step explanation:

hope this helped you if it did plz mark brainiest

Raul is buying ties and he wants to spend $200 or less on his purchase. The ties he likes the best cost $50. How many ties,t, could he purchase?

Answers

Using inequalities, the number of tiles he could buy is equals to 4 or less than 4.

How to find number of tiles using inequalities?

He is buying tiles and he wants to spend $200 or less on his purchase.

The ties he likes the best cost $50.

Therefore, the situation will form an inequalities as follows;

let

t = number of tiles

50t ≤ 200

t 200 / 50

t ≤ 4

The the number of tiles he could buy is equals to 4 or less than 4.

learn more inequalities here: https://brainly.com/question/14875221

#SPJ1

I will mark brainliest!!!!!!! Please I don’t have much time!!!!!


Which ordered pairs is a solution to -52 + 3y > 12?
(3,9)
(-5,5)
(3,-6)
O |(-2,-5)
(2,8)
(-6,0)

Answers

-52 +3y >12
3y >64
y >21.3

DONT CLICK ON THIS ok lol

Answers

She can only buy 2 whole packs.

Acording to the graph, 2 whole pakcs will cost $22, and 3 whole packs will cost $33. She can't afford 3 whole packs as we can see as she only has $30.50.

Let me know if you have any questions, thanks!

Answer:

u told me not to so i did it (its might be B)

Step-by-step explanation:

so i do the did the and the make than the marh and rhe barf and the ract and the rekt

Mr. and Mrs. Sung stayed at a bed-and-breakfast for
two nights while on vacation. Their final bill for the
room including sales tax was $364.61. If they were
charged 10.3% tax on the room, how many dollars per
night did the room cost before tax?

Answers

Answer:

163.53

Step-by-step explanation:

if you divide 364.61 multiply by the tax...37.55483....then that minus the number...327.05517....then you divide by two...163.527585...rounded 163.53

Patrick's gross earnings for the week are $1592.45. His deductions comprise 26% of his total compensation. What is his net pay? Enter your answer rounded to the nearest cent, such as: $4253.64.

Answers

Pretty sure it’s $1560.60

Patrick's net income will be equal to $1178.41.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Patrick's gross earnings for the week are $1592.45. His deductions comprise 26% of his total compensation.

Patrick's net income will be calculated as below:-

26% of $1592.45 = 1592.45 x ( 26 / 100 ) = 414.037

Subtract the deduction from the gross amount:-

Net income = 1592.45 - 414.037 = $1178.41

Therefore, Patrick's net income will be equal to $1178.41.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

5 = 8(x + 9) – 8(x – 8)

Answers

Answer:

5 = 136

hope it helps-

A small theater had 8 rows of 24 chairs each. An extra 9 chairs have just been brought in. How many chairs are in the
theater now?

Answers

201 chairs in theater

Answer:

201

Step-by-step explanation:

8 x 24 is 192

another 9 chairs are added

192+9

201

The output of a function is 7 more than 2 times the input. Write and solve an equation to find the input when the output is 15
Equation:
Solution:

Answers

Answer:

f(x) = 2x + 7

f(15) = 2(15) + 7 = 30 + 7 = 37

Write the polynomial that has factors of 2 and -6.

Answers

answer:

y = (x - 2) (x + 6)



hope this helps, have a great day
mark brainliest :))!!

Answer: x^2 - 4x - 12

Step-by-step explanation:

Factors are (x + 2) and (x - 6)

    (x +2)(x - 6)

    *multiply the first x by the second x and then by the -6

       x^2 - 6x

    * multiply the 2 by the second x and then the -6

         2x - 12

  * combine the two expressions

   x^2 - 6x + 2x - 12

  *simplify

   x^2 - 4x - 12

In the graph below, what are all values of x
for which y = 0?
02
4
00
MA
plss hurry

Answers

The answer is positive 4

At what % does a 20,000 dollar loan taken out for 10 years have a monthly payment of 202.49?

Answers

Answer:

Step-by-step explanation:

Find the value of f(3)

Answers

Answer:

3f

Step-by-step explanation:

Use the commutative property to reorder the terms.

(I need help)
Compute each of the following mentally.
a.) 160 + 92 – 32 + 40 – 18


b.) 36 + 97 – 80 + 44

Answers

Answer:

b. 9

Step-by-step explanation:

36+97=133

80+44=124

133-124=9

An otter is swimming at - 4.2yo relative to the surface of the water. It dives 6.0 yds desper. After thedive, what is the otter's elevation relative to the surface of the water?.

Answers

Answer:

Where to look: Any waterway you’re near! River otters are happy in fresh, brackish and salt water. They’re often seen in coastal areas near the mouths of rivers and creeks. They’re often seen in marshes and wetlands. They’re a little harder to see in vegetated rivers but keep looking, especially when boating. They’re often found in lakes…look where the fish are. In-crowd hint: Check out our otter spotter map to see where they’re often reported!

 

When to look: River otters are most often seen at dusk and dawn, but can be seen at any hour of the day or night.

 

What do I look for? Look for large ripples on the surface of the water, lots of bubbles and a 3 to 4 foot-long animal with a long thick tail. The tail is about a third of the body length of the otter. Otters are dark and sleek in the water. Otters have a large black hairless nose (rhinarium).

 

How do otters swim and move? In the water, river otters do not swim on their backs like sea otters. They can swim along with just their heads showing, they can dive and roll and they often stay underwater for up to 15 or 20 seconds. They also “periscope,” meaning raise their necks far out of the water to see farther. When swimming, they usually carry their bodies just under the surface. They’re very elusive and can “disappear,” into the water, brush, rocks or under overhanging vegetation.

 

On land, river otters are agile, can run quickly and climb trees. They’re small and narrow-bodied, with longer back legs than forelegs, so they move with a humping gait. They’re often seen running across beaches, or along paths near water.

 

There’s a superb Otter/Beaver/Muskrat article with photos and descriptions here.  

SEA OTTER (Enhydra lutris)

In California, sea otters are most often seen around Monterey Bay and Elkhorn Slough. Occasionally we see them in the SF Bay Area. Sea otters are twice the size of river otters, and are never far from the ocean. They have enormous back flippers, and often swim on their backs with their big flippers sticking out of the water. Their tails are short and not as muscular as river otters. They are clumsy on land.

This video by Tom Reynolds shows sea otters first, then river otters. The differences will become obvious!

MUSKRAT (Ondatra zibethicus)

Muskrats are rodents, about 18 inches long, with a thin tail. Like beavers, they swim straight across the water, with their backs at or slightly above water level, without diving and rolling, until it’s time to submerge.

Typical muskrat swimming; note the thin long tail.

Here’s a nice muskrat video.

BEAVER (Castor canadensis)

Beavers are rodents with large orange teeth. They have a very distinctive large, flat tail which slaps the water when they’re startled. Beavers are burly animals, and weigh about twice as much as river otters. Their fur is clumpy when wet. Like muskrats, their bodies are usually at or slightly above water level when they swim.

Here’s a gorgeous beaver, look at that tail!

Here’s our friend Heidi of Worth A Dam in a wonderful video showing the difference between otters and beavers.

HARBOR SEAL (Phoca vitulina)

Harbor seals are seen in the ocean, bays and marshes. They’re quite fat-looking, because they carry a large layer of fat on their bodies to keep them warm in cold waters. Harbor seals have very large heads and big dark eyes. They startle easily, and dive under water with an enormous splash if you surprise them while kayaking. They’re grayish, with mottled fur, sometimes paler gray toward white.

Here’s a fascinating video of a river otter protecting its prey from a curious harbor seal. Many thanks to the Sonoma County Water Agency for sharing with us!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer if you want, 10 points
Can you give me some example of ratios and the steps of them, include answer, and a easy strategy please

Answers

Answer:

hi

Step-by-step explanation:

for example

[tex] \frac{8}{4} = 2 \\ \\ 1 \times \frac{4}{5} = \frac{9}{5} [/tex]

in the second one you should multiple 5 and 1 then add 4

i need help with this

Answers

Answer:

A

Step-by-step explanation:

standard form of 1.23 * 10 to the 11th power

Answers

1. Convert to decimal notation

The exponent is 11, making it 10 to the power of 11. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 11 time(s):

[tex]1.23 -> 123000000000[/tex]

What is the equation of the blue line?

Answers

Answer:

y =  4x - 3

Step-by-step explanation:

When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, we need to choose 2 points from the graph to solve for the slope:

Let (x1, y1) = (0, -3)

(x2, y2) = (1, 1)

Use the following slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

Substitute the values of the coordinates into the formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - (-3)}{1 - 0} = \frac{1 + 3}{1} = \frac{4}{1} = 4[/tex]

Therefore, the slope (m) of the line = 4.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -3) is the y-intercept.  Hence, the y-intercept (b) = -3.

Given our slope, m = 4, and the y-intercept (b) = -3, the linear equation is:

y = 4x - 3

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)

Other Questions
Someone plz help me :( Study the stem-and-leaf plot. How many cars get 8 miles per gallon? 1. Our meeting started half an hour late an earthquake A. since B. on account C. because of D. for how is a ""niche"" job board different from general or aggregator job boards? what happened to the men that surrendered at the battle of coleto Hi! im looking for some help here thanks!Ill give brainliest if able to. How did Martin Luther start the Protestant Reformation? by giving a speech in a square in a small town by handing churchgoers fliers during a service by writing a list of grievances about the Church by printing his beliefs in a newspaper in Wittenburg The government announces a new state religion. All citizens will have to attend the state church. What amendment has beenviolated? 636/526 pls answer and you get points in order to obtain access to cui an individual must first have: 15 tan^3x=5tanx,(0,2pi) Which statement(s) correctly compare the masses of protons, neutrons, and electrons? Select two options.1. Protons and neutrons have similar mass.2. Protons and electrons have similar mass.3. Neutrons and electrons have similar mass.4. Protons are smaller than a neutron or an electron.5. Neutrons are smaller than a proton or an electron.6. Electrons are smaller than a proton or a neutron. At the top of its swing, a pendulum has zero kinetic energy. How much potential energy does it have at the bottom of its swing? A.maximumB.1/2 as muchC.1/4 as muchD.zero Ch.3Section 2Common SensePatriotsThomas JeffersonLoyalistsunalienableThomas PainetyrannyDeclaration of IndependenceDIRECTIONS Answer each question by writing a sentence that containsat least one word from the word bank.1. What did Thomas Paine write to encourage the colonists to declare indepen-dence?2. What did the Second Continental Congress do to formally declare the coloniesfree from Great Britain?3. What group of colonists faced hostility as a result of their views regarding theDeclaration of Independence?4. Who was the main author of the Declaration of Independence, and what threemain points did he make in the document? All of the following statements are true about sensation except one. Which statement is FALSE? Select one: a. Sensory receptors receive incoming information and change it into nerve impulses. b. Humans have no receptors for detecting bands of electromagnetic waves that are shorter than or longer than the visible light spectrum. c. Humans can even detect physical energies for which they have no receptors. d. Humans have no receptors for detecting sound vibrations that are too high or too low. Solve for c. 2a + 3b = cPlease help as soon as possible. Thanks! =D Researchers believe _____ helps strengthen and enhance long-term memory formation. A. hypnosis B. sleep C. dreaming D. meditation When working with an employee system why is important that you use caution in selecting medications Explain how the connotation of a word in Emily Dickinson's "A Book" adds to the poem's message. What statement best describes a country that specializes?It stops all production of goods and services,It produces all of the goods and services it consumes.It focuses on the production of a limited variety of goods and services,It produces only goods and services for its closest neighbors.