Find the equation that passes through points A and B

Find The Equation That Passes Through Points A And B

Answers

Answer 1

Answer:

Step-by-step explanation:

A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2

Equation of a line AB is

((y-y1) = m(x-x1)

y - 7 = 2(x-1)

y - 7 = 2x-2

y = 2x + 5

Answer 2

Answer:

y = 2x +5

Step-by-step explanation:

Equation of a line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The image provides two points A(1,7) and B(-3,-1), thus the slope is:

[tex]\displaystyle m=\frac{-1-7}{-3-1}[/tex]

[tex]\displaystyle m=\frac{-8}{-4}[/tex]

m = 2

Now we apply the point-slope form taking the point (1,7):

y - 7 = 2 ( x - 1 )

Operating:

y - 7 = 2x - 2

Adding 7:

y = 2x +5


Related Questions

While hiking, Diego drank 2¼ liters of water. Lin drank 1⅗ liters of water. How much more did Diego drink than Lin?

Answers

Answer: 13/20

Step-by-step explanation:2 1/4 - 1 3/5 = 13/20

Answer:

13/20

Step-by-step explanation:

Complete Eduardo's definition of parallel lines: "If two coplanar lines are both perpendicular to a third line in the same plane, all of the angles formed between the two lines and the third line are "Explain your answer.​

Answers

Appendicular because science isn’t everything.

Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling

Answers

Answer:

this copy and paste is to hard to read making it impossible to solve sorry.

Step-by-step explanation:

The value of the expression is 256.

What is simplification of an expression?

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.

For the given situation,

The expression is  $x^{6} + (y^{2} \div z^3)\cdot w^3$

⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]

Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,

⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]

⇒ [tex]64+(\frac{81}{27} )(64)[/tex]

⇒ [tex]64+(3)(64)[/tex]

⇒ [tex]64+192[/tex]

⇒ [tex]256[/tex]

Hence we can conclude that the value of the expression is 256.

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For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
Is it a solution?
Yes
No
(-3.2)
(8,9)
(-3,0)
(-2. – 8)

Answers

Answer:

(-2.-8) is the answer to the question

The solution of the inequality equation 7x - 4y < 18 will be (-2, -8) and yes, it has a solution.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.

The equation is satisfied by the point (-2,– 8). Then we have

     7x - 4y = 18

7(-2) - 4(-8) = 18

    -14 + 32 = 18

              18 = 18

More about the inequality link is given below.

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Divide. Write your answer as a fraction or mixed number in simplest form.

10 • 3 3/4

Answers

Answer:

37 1/2

Step-by-step explanation:

before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.

The required solution to the given expression is 37 1/2 in mixed number form.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To determine the evaluation of expression 10 ÷ 3 3/4

When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.

Thus, the required solution to the given expression is 37 1/2 in mixed number form.

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The vertex of the parabola is (1,6).
Y=x^2- 2x - 5
O True
O False

Answers

Answer:

true ig

Step-by-step explanation:

gfsetghdfr

Farmer collected 225 eggs from his 25 chickens. If each chicken laid the same how much would each chicken had laid

Answers

Answer:c

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

225 divided by 25 is 9.

Which equation represents a proportional relationship?

a y = 7x – 3
b y = 150x
c y = 21x
d y = 2x + 1

Answers

I am not certain but I think c? if its wrong sorry

A rectangle has a length that is 12 ft longer
than its width. If its perimeter is 84 ft, what
are the dimensions of the rectangle? Write
a system of equations representing the
situation and then find the dimensions to
obtain full credit.

Answers

4x+24=84 4x=60 x=15 length =27 width = 15

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

w= -12

Step-by-step explanation:

okay I understood it now. Here you go.

You’re welcome :)

Answer:

w= -12

Step-by-step explanation:

x both sides by 24

4w + 15 + -33

move the constant to the right  and change its sign

4w= -33 -15

calculate the difference ...

4w = -48

divide both sides by 4

w= -12

please tell me the answer

Answers

I think it would be; maximum 25, minimum -15

At local parks, bikes can be rented through Clarksville B-Cycle. They charge a $3 fee plus $2 an hour for renting a bike. Ryan's total bill for one day was $15 to rent a bike. How many hours did he have the bike checked out?

Answers

Answer:

7

Step-by-step explanation:

A cow is eating green grass that grows in a field.

Which type of organism is the grass in this scenario

consumer
decomposer
prey
producer

Answers

A cow is eating green grass that grows in a field. The grass in this scenario is the producer.

'This is a basic food chain. The grass is a living organism that utilizes energy from the sun to make its own food through an interaction called photosynthesis. Then, different creatures eat the grass; it is their wellspring of energy.

Every living organism (plants and creatures) should eat food for the endurance of some sort or another. Plants make their own food through an interaction called photosynthesis. Using the energy from the sun, water, and carbon dioxide from the air and nutrients, they artificially make their own food. Since they make or produce their own food they are called makers.

Organisms that don't make their own food should eat either plants or creatures. They are called buyers. A few creatures get their energy from eating plants while different creatures get energy in a roundabout way from plants by eating different creatures that previously ate the plants.

Creatures that eat just plants are called herbivores. Creatures that eat the two plants and other creatures are called omnivores. Creatures that eat just different creatures are called carnivores.

A few creatures eat just dead or decaying materials and are called decomposers.

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What is the image of (7,8) after a reflection over the line y = –x

Answers

Answer:

(-7. -8) Just flip the signs.

Answer:

[tex]\boxed {\boxed {\sf (-8,-7)}}[/tex]

Step-by-step explanation:

When a point is reflected over y=-x, the following change occurs:

[tex](x,y)[/tex]    ⇒  [tex](-y, -x)[/tex]

We are given the point (7,8).

Essentially, we change the signs for both coordinates, then flip the x-coordinate and y-coordinate.

1. Change the signs

[tex](7,8)[/tex]    ⇒    [tex](-7,-8)[/tex]

2. Flip the x and y coordinates

[tex](-7,-8)[/tex]   ⇒    [tex](-8,-7)[/tex]

So the image of (7,8) after a reflection over y=-x is (-8,-7)

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

9514 1404 393

Answer:

  7/3

Step-by-step explanation:

The point at the right end of segment 5 is 7 units above and 3 units to the right of the point at the left end. The slope is the "rise" divided by the "run":

  slope = m = rise/run = 7/3

The slope of segment 5 is 7/3.

7. Serene paid $35.01 to buy 9 hot dogs. How much did each hot dog cost?

Answers

Answer:$3.89

Step-by-step explanation:

divide 35.01 by 9 and then you get the answer $3.89

What is the answer to 4^8/4^3 in 4^n form

Answers

Answer:

4^5

Step-by-step explanation:

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[tex] \frac{ {4}^{8} }{ {4}^{3} } = {4}^{8} \div {4}^{3} = {4}^{8} \times {4}^{ - 3} = \\ [/tex]

[tex] {4}^{8 - 3} = {4}^{5} [/tex]

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There are two polygons. The larger one has three times as many sides as the smaller one.
Its angle sum is four times as big. How many sides does the smaller polygon have?

Answers

Answer:

Step-by-step explanation:

There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?

“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.

Its angle sum is four times the smaller one’s. This applies to interior angles.

A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.

A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.

So start at 9.

7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.

18 fits that description.

The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.

18÷6=3, so we have a solution. The smaller polygon can be a hexagon.

We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).

So the 30-gon:

28×180=5040

5040÷4=1260

1260÷180=7

7+2=9

9×3=27

Off by 3.

The 42-gon:

((((((42–2)×180)÷4)÷180)+2)×3)=36

Off by 6. It will keep getting farther away, so we have a unique solution.

rashi borrowed rs 12000 from a bank . if the bank charges interest at the rate of 11 percent p.a. what amount will he pay to bank at the end of 3 years
chapter in math is comparing quantities need answer fast
will give full stars

Answers

Answer:

INTEREST=Rs 3960

Step-by-step explanation:

INTEREST=PTR/100

INTEREST=12000*3*11/100

INTEREST=3960

Answer:

rs 16411.57

Step-by-step explanation:

12000×11%÷100=1320

1320+12000=13320×11%÷100=

1465.20+13320=14785.20

14785.20×11%÷100%=1626.37

1626.37+14785.20=16411.57

Ans =16411.57

it is due in very soon and i don’t wanna fail math. can someone plz help. :/

Answers

Answer:

y= -1 , 0 , y = -2

x= 10 , infinity , x = 7

x= -4 , infinity , x= 7

is y=.75x+2 proportional or non proportional

Answers

Answer:

non proportional

Step-by-step explanation:

Please answer this correctly, and you'll recieve brainliest, Answers below:


28=14=0.25

63=21=2

82=41=4

36=12=0.5

Answers

I believe the scale factor would be 4, seeing as the length of triangle a's bottom side is 2, and triangle b's bottom side is 8.

CAN SOMEONE HELP IM SO CUNFUSED

Answers

Answer:

m = 1/3

Step-by-step explanation:

Answer:

Slope can be indentified by looking t how much a point has gone up/down and to the right/left. An example can be a point at 0,0 and a point at 1,1

from 0,0 to 1,1 it goes 1 units up and 1 unit right. Therefore the slope is 1/1 or just 1.

So to find this answer we could graph the points or just find out how  many units it takes from going up/down and right/left to get from (-2, 1) to (7, 4)

From -2 to 7 is 9 units and from 1 to4 is 3 units

The slope is rise/run meaning the distance u moved in height over he distance moved right/left. Therefore the slope is 3/9 which is 1/3

Step-by-step explanation:

To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume. How many millilitres of water should she add to make 637 mL of lemonade?

Answers

Answer:

546 mL of water

Step-by-step explanation:

To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume.

Let the amount of water is 6x and that of lemon juice is x.

ATQ,

6x+x = 637

7x = 637

x = 91

Amount of lemon juice = 91 mL

Amount of water = 6x = 6(91) = 546 mL

So, 546 mL of water she should add to make 637 mL of lemonade.

Six girls of differing heights are arranged in 2 rows of 3 each. Each girl is taller than the girl in front of her and also taller than the girl to her right. How many arrangements of the six girls are possible?

Answers

Answer:

5 possible ways

Step-by-step explanation:

Questions like this are a bit technical. Therefore, there are no perfect formula, all you have to do is picture the scene and count. Having said that. Let us use name the positions the girls are standing according to the question:

D E F

A B C

I have arranged this according to how the question has specified, meaning F is the tallest and A is the shortest if I take F to be at the back right and A to be at the front left.

In reality, A and F can never change their positions if we maintain the arrangement specified.

What we have left is to look for how to rearrange, D, E, B and C that will still make it fit the arrangement. Take note that E cannot be in front of B because she is taller than B.

Since positions for shortest and tallest are fixed, you are left with 4 people and you need two of them for the front position. This can be gotten using 4C2 = 6, but the two tall persons can't be in the front else it will disrupt the arrangement, so we have to eliminate that case which will occur once, therefore we have 5 possible ways we can make the arrangements as required.

Please help meh im so bad at this stuff lol

Answers

Answer:

40 Baskets

Step-by-step explanation:

4 baskets = 1/2 hour

? baskets = 5 hours

This means, 8 baskets = 1 hour

8 x 5 = 40

Therefore,

40 baskets = 5 hours

Answer:

40/1 baskets

Step-by-step explanation:

» What is 2 to the power of 0? Submit​

Answers

Answer:

1

Step-by-step explanation:

Answer:

2⁰ power is equal to 1

Step-by-step explanation:

Any number with the exponent of 0 will always equal 1, no matter what the number is. Hope it helps!

PLS HELP ME?? The blue dot is what value on the number line?

Answers

Answer:

-3

Step-by-step explanation:

since it is a gap of 6 the first one gave ...so 3-6=-3

I need someone’s help please I don’t know this that well

Answers

Answer:

raiz de 84 = 9.16

Step-by-step explanation:

la ubicacion que debes de poner es en la primera linea que te anexe en la linea

HEEEEEEEEEEELPkjbflakbeiufakebslkja

Answers

Answer:

The answer is 20 feet..

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