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

plz help on this one ​

Answers

Answer:

60°

Step-by-step explanation:

Because of the rule that all triangle's angles must measure to 180°.

So I did...

60+60=120

180-120= 60

Answer

60 degrees

Step-by-step explanation:

A triangle is 180 degrees. So if you add both 60 degrees it would equal 120, substracted by 180 and you'll get 180. Or if you want to go the faster way, remember that a triangle will equal 180.

Zayd can row 3/8 of a mile in 1/4 of an hour. What is the unit rate the describes the miles per hour?

Answers

Answer:

1.5mph

Step-by-step explanation:

Given parameters:

Distance sailed  = [tex]\frac{3}{8}[/tex]miles

Time taken  = [tex]\frac{1}{4}[/tex]hr

Unknown:

 Unit rate of sail in miles hour = ?

Solution:

This is also the speed of the sail. It is the distance divided by time taken.

 Speed  = [tex]\frac{distance}{time}[/tex]  

 Speed  = [tex]\frac{\frac{3}{8} }{\frac{1}{4} }[/tex]  

 Speed  = [tex]\frac{3}{8}[/tex]  x 4 = 1.5mph

Solve for the value of y.​

Answers

Answer:

y=6

Step-by-step explanation:

add both expressions together. 14y+6. Then set this equal to 90, because this is a 90 degree angle. Solve for y. 84=14y. y=6

Step-by-step explanation:

90= 6y+5+8y+1

14y=84

y=6

what is the slope of (-3,-5) (-2,-2)

Answers

Answer:

m=3

Step-by-step explanation:

PLEASE HELP
If triangle ABD similar to triangle EFG , find BC and FH. Options are in the picture ^^

Answers

Answer:

B. BC=12, FH=9

Step-by-step explanation:

no clue tbh but it worked

Please help me, please

Answers

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[tex] - 5 \: \: and \: \: 3[/tex]

Look :

[tex] - 5 + 3 = - 2[/tex]

[tex] - 5 \times 3 = - 15[/tex]

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Answer:

-5 and 3

Step-by-step explanation:

because -5 + 3 = -2 and -5 X 3 = -15.

-5 is bigger in -5 + 3 so your answer would be negative.

and for the multiplication on use the sleeping dog - - + you have a negative and a positive so the answer would be negative.  

Find at least one solution to the following equation:
sin(x
2 − 1)
1 − sin(x
2 − 1) = sin(x) + sin2
(x) + sin3
(x) + sin4
(x) + · · ·

Answers

For |x| < 1, we have

[tex]1+x+x^2+\cdots=\displaystyle\sum_{n\ge0}x^n=\frac1{1-x}[/tex]

We have |sin(x)| ≤ 1, with equality when x = ± π/2. For either of these, the right side of the equation does not converge, since it's either an infinite sum of 1s or an infinite alternating sum of 1 and -1.

So for |sin(x)| < 1, we have

[tex]\sin(x)+\sin^2(x)+\sin^3(x)+\cdots=\dfrac1{1-\sin(x)}-1=\dfrac{\sin(x)}{1-\sin(x)}[/tex]

so the equation is equivalent to

[tex]\dfrac{\sin(x^2-1)}{1-\sin(x^2-1)}=\dfrac{\sin(x)}{1-\sin(x)}[/tex]

One obvious set of solutions occurs when x = x² - 1 :

x² - x - 1 = 0   →   x = (1 ± √(5))/2

i.e. the golden ratio φ ≈ 1.618 and 1 - φ ≈ 0.618.

Find the value of f(-3).

Answers

Answer:

It's 27

Step-by-step explanation:

What is the product of the polynomials below?
(5x2 - x-3)(2x+6)
A. 10x3 + 28x2 + 12x +18
B. 10x2+28x2 + 12x +3
O C. 10x2 +28x2 - 12x-18
D. 10x2 +28x2 - 12x-3

Answers

It b because if you 5x5 10 and then multiple by 3

(a–3b)(a+3b)+(2a–3b)2–4a(b–a)

Answers

Answer:

Step-by-step explanation:

5a²-9b²+4a-6b-4ab

1
A measuring tape measures distance to
2.0
or 0.5, of an inch. Which is
the most appropriate way to report a length measured using this
measuring tape?
A. 12.5 inches
B.12.49936 inches
C.13 inches
D. 12.49 inches

Answers

A

because with b you would be able to get that close of a measurement with a measuring tape c you don't round up that high and D is also too close to 12.5 to not round up

Four groups of students will clean a total of 3.25 miles of the trail along Lady Bird Lake. Each group will clean the same length of the trail. What length of the trail will each group clean?

Answers

You should do 3.25/4. This will give you how much of the trail each group cleans. Have a nice day!!!

which is greater 5.8 or fifty eight hundreds

Answers

Answer:5.8

Step-by-step explanation:

Answer:

The answer is fifty eight hundreds. This is because it is the same as 5800.

Step-by-step explanation:

If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!

please answer this question

Answers

Answer:

x = 7 or x = -8

Step-by-step explanation:

3|2x + 1| = 45

Divide both sides by 3.

|2x + 1| = 15

Separate into a compound equation.

2x + 1 = 15 or 2x + 1 = -15

2x = 14 or 2x = -16

x = 7 or x = -8

Answer: A

Step-by-step explanation:

Yer welcome

The results of a survey of customers at PetSmart showed that 27 owned dogs, 38 owned cats, and 16 owned both dogs and cats. How many people were surveyed?

Answers

Answer:

81 people

Step-by-step explanation:

addition pretty much

Evaluate the expression 3x for x = 7

Answers

Answer:

3(7)

the answer is 21

Step-by-step explanation:

Answer:

the answer is 21.

Q6: 24 students in a class took an algebra test.
If 18 students passed the test, what percent passed?
Answer:
%

Answers

Answer:

25%

Step-by-step explanation:

18/24 passed that reduces 3/4.

So 1/4 didn't pass

The drop down option for the least minimum is k,g,f,h & the maximum options are h,g,k,f

Answers

1 is the answer  OR h

what is 7-(2x+1)+4x simpilist form

Answers

The answer is 2x +6 hope this helps

please help me i would appreciate it greatly

Answers

Answer:

I would put B

Sorry if it's wrong I would have to know what the test is about to answer this

Step-by-step explanation:

Answer is D. a^10.
Step by step:
a^20-10
a^10

If h(x) = [tex]\frac{2x+7}{x}[/tex] find [tex]h^{-1} (x).[/tex]

Answers

Answer: The answer is [tex]h^{-1}(x)=-\frac{7}{2-x}[/tex]

Step-by-step explanation: You meant to say that I was finding the inverse, so to find the inverse, interchange the variables and solve for y.

Is the relation in the mapping below a function? Explain.
Domain
1,3,5,7
Range
2,4,6

Answers

Answer: No

Step-by-step explanation:

The range and the Domain aren’t equal

Alyssa has 2.1 meters of ribbon to make bows. She needs to make 3 bows. If she uses an equal amount of ribbon for each of her bows, and uses all of the ribbons she has, how much ribbon will she use for each bow?

Use the Math Learning Center App, Number Pieces to show your thinking using place value blocks. Enter your answer and explain how you used the place value blocks to model the problem.

Answers

Answer:

0.7 ribbon

Step-by-step explanation:

To find how much is needed, use division.

So, to show your work:

2.1 divided by 3 = 0.7

I hope this is what you were looking for and I hope this is the correct answer for you!!!  :)

x+5y=20
x+3y=14

x=
y=

Answers

Answer:y  = − 1 5 x + 4

Step-by-step explanation:

Do elimination
x + 5y = 20
x + 3y = 14
Subtract both equations
2y = 6
y = 3
Plug in 3 for y and solve for x
x + 5(3) = 20
x + 15 = 20
x = 5
In conclusion, x = 5, y = 3

Saturday morning, 55% of the customers at The Gap spent over $50. If there were 300 customers at The Gap that morning, how many of them spent more than $500 ?

Answers

Answer:

165 customers spent more than $500.

Step-by-step explanation:

If you ment to put $500 for both, then you have to multiply 300 by 55%. This will give you 55% of 300 which is the amount of people that spent more than $500. You multiply them to get your answer.

rewrite in simplest terms. 8(-5d-9) -3(-6d+10)

Answers

Answer:

− 22 d − 102

Step-by-step explanation:

what is the inverse of R(x)= 2(4x)

Answers

Answer:

The inverse function is y=x−24 .

Step-by-step explanation:

the equation of the line that has a slope of

-23 that passes through the point (5, 1). Which form did you choose to write the equation in and why?

Answers

Y = -23x + b
1 = -23(5) + b
1 = -115 + b, b = 116
Y = -23x + 116
I choose the slope intercept form since it was easy to calculate. The slope was given, you just need to plot in the points to find the y- intercept.

Answer:

I used the y=Mx+b equation because it has a good job showing each of the elements in the equation.

Step-by-step explanation:

The slope is -2/3 so if you add it to (5,1) it would be (3,4) as you just add three and subtract to to the point. I’m going to use for this equation as it is more simple and it gives a good job showing what each element is in the equation. M is the slope, so now we have y= -2/3x +b. To find b, substitute x and y for a point on this line which I will use the point (3,4) for. Now, multiply -2/3 by 3 and you will get -2 after. Now you have 4=-2+b which the answer would be 6.

This is just an example of finding the equation, which form I used, and why.

How many solutions does this equation have?
8(k - 6) +58 = 2(4k + 5)
infinite solutions
OA
Ов
Ос
no solutions
one solution

Answers

Answer:infinite solution

8(k - 6) + 58 = 2(4k + 5)

⇔ 8k - 48 + 58 = 8k + 10

⇔ 10 = 10

=> infinite solution

Step-by-step explanation:

Please answer C and D please ! I would love you forever !!!!

Answers

Answer:

First i need you to tell me the pattern and then i will help you :)

Step-by-step explanation:

-4/1

-1/0

2/1

5/2

8/3

or put then as ratios the same way i am not so sure

Answer:

Do you love me?

Step-by-step explanation:

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