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

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

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

Answers

Answer:

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

Step-by-step explanation:

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

[tex]x = 1.23[/tex]         [tex]x = 1.27[/tex]

So, we have:

[tex]Minimum = 1.23in[/tex]

[tex]Maximum = 1.27in[/tex]

Find the values of x,y and z

Answers

Step-by-step explanation:

x = 180-106 = 74°

y = x/2 = 74/2 = 37°

4z+6 =106

4z = 100

z = 25°

HELP HELP, HELP NEEDED!!!!!!!!!!!

Answers

Answer:

x=-3

Step-by-step explanation:

because f(x) is "y" now because y is 6 if you look properly where the coordinate of y is 6 x is -3

Select Yes or No to state whether each data set is likely to be normally distributed

Answers

Answer:

No

Step-by-step explanation:

no more animals in zoo

no average of animals at San Diego zoo is high

no visitors are more than 2k

Answer:

Step-by-step explanation:

average age of an elephant at a zoo- YES

number of elephants at the San Diego Zoo- NO

number of daily visitors at the San Diego Zoo- YES

took the test :)

Help and explain please and thankyouuu’!!!!!

Answers

here,

f(x)=x-4

then, f(-3.2)=(-3.2)-4

[ replace the value of x in the equation by -3.2]

therefore,f(-3.2)=-7.2 answer....

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

9514 1404 393

Answer:

  (a)  f(-3.2) = -7

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]

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

The sum of two numbers is 69. One number is 15 less than the other. Find the numbers.

Answers

Answer:

58+-43=15

Step-by-step explanation:

rectangular garden width 2.3 meters and a length of 2.8 meters what is the area

Answers

Answer:

area = 2.3 x 2.8

area is 6.44 meters

Step-by-step explanation:

area is length multiplied by width

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.

how to convert 15 cm to mm​

Answers

You just multiply 15cm by 10, as every cm has 10mm.

15cm x 10 = 150mm

Find the volume of the prism.

Answers

Volume of prism= 6x(4+(1/5))x(8+(1/3))
Volume of prism= 3.024 yd^3

Explanation: Volume= L x W x H

Find the value of x.

Answers

Answer:

Hello! answer: 84

Step-by-step explanation:

This is 360 degrees therefore 84 is the answer

84 + 84 + 96 + 96 = 360 degrees

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

Answers

Answer: 3-7x

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

Pythagorean theorem

Answers

Answer:

b=20 yards

Step-by-step explanation:

15^2+x^2=25^2

225+x^2=625

x^2=400

x=20

Answer:

x=20

Step-by-step explanation:

Trapezoid A B C D is shifted down and to the left to form trapezoid A prime B prime C prime D prime. Trapezoid A prime B prime C prime D prime is rotated 270 degrees about point B.
What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B'C"D"?

a translation down and to the right
a translation up and to the right
a 270° rotation about point B'
a 180° rotation about point B'

Answers

Answer:

a 270° rotation about point B'

Answer:

C is correct 270°

Step-by-step explanation:

yuh

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

find the area for brainlest

Answers

Answer:

A = 30 units²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 12 and h = 5 , then

A = [tex]\frac{1}{2}[/tex] × 12 × 5 = 6 × 5 = 30 units²

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!!!!!!!!!!!!

The graph of g(x) resembles the graph of f(x) = x2, but it has been changed.
Which of these is the equation of g(x)?

Answers

Answer:

B. g(x)=x²-3 b is my answer

What is the product?
(-282 +8)(502-65)

Answers

Answer:

option c is the answer for pic

and for question the answer is

(-274)*(437)

-119738

Answer:

the first one

Step-by-step explanation:

Hellpppp I’m stuck......

Answers

I’m just gonna guess but I think 6

i think it’s five
Vertical angles are angles that congruent and opposite of each other

Find the value of x in the figure

Answers

Answer:

x = 100

Step-by-step explanation:

180-57 would equal 123 which means 123 = x +23 and you can simplify this equation by moving 23 over to 123 and subtracting them leaving x = 100

123 = x+ 23

-23 + 123 = x

100 = x

x = 100

sorry, i'm really bad at explaining

180 degree angles when added

180-57 (for known angle)= 123

x+23=123<- we need to take off the all known angles to get x

123-123=100

x=100 is the answer

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

Answers

Answer:

Step-by-step explanation:

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 probability of rolling a number greater than or equal to 8 with the
sum of two dice, given that at least one of the dice must show a 6?

Answers

this answer will be 9/11 :)

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

a. draw an ordered stem and leaf plot for the data.

b. revealed when answer a is complete.

Answers

Answer:

13 cars per day

Step-by-step explanation:

64 - 51 = 13 cars per day

hope it helps

If f(x) is a third degree polynomial function, how many distinct imaginary roots are possible?​

Answers

Answer:

1, 2, or 3

Step-by-step explanation:

if it's third degree then there must me 1 to 3 roots

hope you find this helpful :)

Answer: 0 or 2

Step-by-step explanation:

took test on edge2020

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Answers

Answer:

50°C

Step-by-step explanation:

(122°F − 32) × 5/9 = 50°C

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