Find the equation of the line that passes through points A and B.

Find The Equation Of The Line That Passes Through Points A And B.

Answers

Answer 1

Answer:

[tex]y=2x+5[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-3,-1) and (1,7)

[tex]m=\frac{7-(-1)}{1-(-3)}\\m=\frac{7+1}{1+3}\\m=\frac{8}{4}\\m=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and solve for b

[tex]7=2(1)+b\\7=2+b[/tex]

Subtract 2 from both sides to isolate b

[tex]7-2=2+b-2\\5=b[/tex]

Therefore, the y-intercept is 5. Plug this back into [tex]y=2x+b[/tex]:

[tex]y=2x+5[/tex]

I hope this helps!


Related Questions

Choose the expression that represents “three less than seven times a number

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Answer: 3-7x

Step-by-step explanation: x represents the "a number" portion since it is a variable

Find the value of x.

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Answer:

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Step-by-step explanation:

This is 360 degrees therefore 84 is the answer

84 + 84 + 96 + 96 = 360 degrees

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Answers

Answer:

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Step-by-step explanation:

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Answer:

B. g(x)=x²-3 b is my answer

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Answers

Answer:

option c is the answer for pic

and for question the answer is

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-119738

Answer:

the first one

Step-by-step explanation:

Del siguiente conjunto de datos calcula lo que se te pide: 3,6,8,4,3,2,6,7,1,5,4,8,4

¿cual es la media? del problema
cual es la moda?

Answers

Answer:

Moda = 4

Media = 4

Step-by-step explanation:

primero tienes que ordenarlos

1,2,3,3,4,4,4,5,6,6,7,8,8

La moda es el elemento que más se repite entonces es el 4

La media es el elemento que esta al medio, en este caso son 13 números

13/2 = 6.5, el elemento que esta en la séptima posición  7 es la media

media= 4

NJa a Qi oaoanBakabhaiwowmsbzksoajns

Nalani says the expression 3 - 8s cannot be factored using the GCF. Is she correct? Explain why or
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Answers

Answer:

she is correct because there is not common factor of 3 and 8 so it cannot be factored

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

no more animals in zoo

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Answer:

Step-by-step explanation:

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took the test :)

Please help me figure out which is the correct answer, i have attached the picture for you to look at. Thanks so much!

Answers

Answer:

The answer is B ;)

Step-by-step explanation:

4x+5 is greater than or equal to 13

subtract 5 from each side to get 4x is greater than or equal to 8

then divide both sides by 2 to get

x is greater than or equal to 2

Pythagorean theorem

Answers

Answer:

b=20 yards

Step-by-step explanation:

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225+x^2=625

x^2=400

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Answer:

x=20

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

(122°F − 32) × 5/9 = 50°C

why is the growth factor 0.9?

Answers

Answer:

Actual growth of population - Birth - Death + In migration - Out Migration. ...

According to my calculation the answer is :I just need points to pass summer school please don’t report help me out and leave a like

what is the area of the irregular polygon shown below?

Answers

this contain two triangle and one rectangle

therefore total area = 2×area of triangle + area of rectangle

then refer the attachment

what is the ordered pair for the equation -7x+3y=2​

Answers

Answer:

Step-by-step explanation:

Suppose that E and F are points on the number line.
If EF=9 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.

Answers

9514 1404 393

Answer:

  -5 or 13

Step-by-step explanation:

A point that is 9 units from 4 on the number line ca be located at ...

  4 - 9 = -5

  4 + 9 = 13

F could be either of -5, 13.

A number pattern was created by dividing the previous term by 4. If the starting value for the pattern was 576, which of the following shows the resulting pattern?
A.
576, 144, 72, 9...
B.
576, 144, 36, 9...
C.
576, 144, 72, 5...
D.
576, 144, 36, 5...

Answers

Answer:

The answer is B!!!!!!!!!!!!

A machine cuts dry wall screws with specifications such that the length of each screw is 1.25 inches with an allowable margin of error of 0.02 inches. Use this information to complete each statement.​

Answers

Answer:

[tex](a)\ x = 1.25 \± 0.02[/tex]

[tex](b)[/tex]

[tex]Minimum = 1.23in[/tex]

[tex]Maximum = 1.27in[/tex]

Step-by-step explanation:

Given

[tex]L = 1.25in[/tex] --- Length

[tex]E=0.02in[/tex] -- Margin of error

Solving (a): The equation of the length

This is calculated as:

[tex]x = L \± E[/tex]

So, we have:

[tex]x = 1.25 \± 0.02[/tex]

Solving (b): The range of value of x

In (a), we have:

[tex]x = 1.25 \± 0.02[/tex]

Split:

[tex]x = 1.25 - 0.02[/tex]         [tex]x = 1.25 + 0.02[/tex]

Solve for x

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So, we have:

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Answers

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Find the value of x in the figure

Answers

Answer:

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Step-by-step explanation:

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sorry, i'm really bad at explaining

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Answers

Answer:

A = 30 units²

Step-by-step explanation:

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the data below shows.the number of car thefts in a city for a period of 20 days. complete parts (a) and (b) below.

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Answers

Answer:

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Step-by-step explanation:

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Answers

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What is the probability of rolling a number greater than or equal to 8 with the
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Answers

this answer will be 9/11 :)

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Step-by-step explanation:

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Answers

I’m just gonna guess but I think 6

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Answers

here,

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HOPE THIS HELPS YOU.HAVE A NICE DAY/NIGHT.....

9514 1404 393

Answer:

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Step-by-step explanation:

The ceiling function returns the smallest integer greater than or equal to its argument value. For an argument of -3.2, the next larger integer is -3.

  [tex]f(-3.2)=\lceil -3.2\rceil-4=-3-4=\boxed{-7}[/tex]

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Answers

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Answers

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yuh

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Answers

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Step-by-step explanation:

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hope you find this helpful :)

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Step-by-step explanation:

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