Write an equation of the line that passes through the points ( 2,6) and (- 8, 1)

Answers

Answer 1

Answer:

[tex]y = \frac{1}{2} x+5[/tex]  

Step-by-step explanation:

1) First, find the slope of the line that passes between the two points. Substitute the x and y values of (2,6) and (-8,1) into slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Then, solve:  

[tex]m = \frac{(1)-(6)}{(-8)-(2)} \\m = \frac{1-6}{-8-2} \\m = \frac{-5}{-10} \\m = \frac{1}{2}[/tex]

So, the slope is [tex]\frac{1}{2}[/tex].

2) Now, write the equation of the line using the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex]. Substitute real values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope, substitute [tex]\frac{1}{2}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of one of the given points into the formula as well. (Any of the two will do. Either choice will represent the same line. I chose (2,6).) Then, isolate y to put the equation in slope-intercept form and find an answer:

[tex]y-6 = \frac{1}{2} (x-2)\\y-6 = \frac{1}{2} x-1\\y = \frac{1}{2} x+5[/tex]


Related Questions

NEED HELP ASAP

What type of function is this: y=.7X ?

1:Quadratic

2:Exponential growth

3:Exponential Decay

4:linear

Answers

Answer:

Linear (4)

Step-by-step explanation:

I assume that by " y=.7X " you actually meant " y = 7x"

If that's the case, this y=7X is a LINEAR function.  Its graph is a straight line.

If you meant " y = 0.7x " that is still a LINEAR function whose slope is smaller than that of y = 7x.

x is an odd number and the sum of the next two consecutive even numbers is less than 90.
By forming an inequality in terms of x, find the largest possible odd number of x.

Answers

Answer:

41

Step-by-step explanation:

Let the odd number be x

Therefore,

[tex](x + 1) + (x + 3) < 90 \\ 2x + 4 < 90 \\ 2x < 86 \\ x < 43[/tex]

Therefore, Largest possible odd number of x is 41

What is the volume of the prism below?

Answers

Answer:

432 in.^3 or D.

Step-by-step explanation:

Answer:

D) 432 in³

Step-by-step explanation:

4 x 6 = 24

5 x 6 = 30

30 + 24 = 54

54 x 8 = 432

The gene that causes brown fur in a rabbit develops a
mutation that results in white fur.
How would this mutation most likely affect a rabbit that lives in a snowy
climate?

Answers

Answer:

It would help the rabbit by blending in with the environment and avoiding predators.

Step-by-step explanation:

I got the question right ap3x

Answer:

Step-by-step explanation:

It would help the rabbit by blending in with the environment and avoiding predators.

PLEASE PLEASE HELP ME ASAP

simplify -2x -2(3x-7) + 4(3x-5) - (4x-9)

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Heather drew a scale drawing of a shopping center. The parking lot, which is 60 meters long in real life, is 12 centimeters long in the drawing. What is the scale of the drawing?

Answers

Answer:

1 cm = 5 meters

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

60 meters / 12 centimetres

5 meters / 1 centimetres


Pleaseee help with math 6th

Answers

shouldn’t it be a hexagon
four bases plus two bases is 6 bases
and a hexagon has six sides

A hot air balloon travels 1,470 miles at a constant rate 6 hours. what is the rate of the speed?​

Answers

Answer:

245 miles per hour

Step-by-step explanation:

1470 divided by 6

Please please please I need help!!!!!

Answers

Answer:

.

Step-by-step explanation:

Pleaseeeeee answer it pleaseeeeeeee

Answers

Answer:

b) $0.50, it represents the price per mile to drive the rental van.

Step-by-step explanation:

Find the slope by taking 2 points from the graph: (20, 40) and (40, 50)

Use the formula to find the slope: y2 - y1/ x2 -x1

Substitute the values into the formula above:-

50 - 40 / 40 - 20

=> 10/20

Simplify

=> 1/2

=> 1/2 = 0.50

The slope is $0.50

hope this helps and is right. p.s. i really need brainliest :)

The NYC subway system has a total of 850 miles of train tracks, and a NYC subway train has an average speed of 17.4 mph. If you laid all 850 miles of track end-to-end in one big circle, how much time would it take to ride a NYC subway train around the entire circumference of that circle?

Answers

Answer:48.85 hr

Step-by-step explanation:

Given

The length of the train track is [tex]L=850\ miles[/tex]

the average speed of the train is [tex]v_{avg}=850\ mph[/tex]

If this track is laid on to a big circle, then the length is equivalent to the circumference

time is taken to cover the circumference is given by

[tex]\Rightarrow t=\dfrac{L}{v}\\\\\Rightarrow t=\dfrac{850}{17.4}=48.85\ hr[/tex]

HELP NEEDED!!! 15 POINTS FOR A ANSWER! I cant figure this out help me please! Also no links. HURRY ITS DUE AT 8:30

Answers

Answer:

Red is at y = 4; Blue is at y = -2; Green is at x = -1, Yellow is at x = 6

Step-by-step explanation:

Locate where they are on the graph

Answer:

Answer is below

Step-by-step explanation:

Red Line : y = 4

Blue line: y = -2

Yellow line: x = 6

Green line: x = -1

Find the surface area of a square pyramid with side length 6 cm and slant height 6 cm.

Answers

Answer: 108 cm

Step-by-step explanation: Formula for square triangle is

SA=

pls help I really need an answer

Answers

Answer:

The second answer choice

Step-by-step explanation:

It’s the answer

The perimeter of a scalene triangle is 90 feet. The first side is three times the third minus six. The second side is twice the third plus three. How long is the third side?

Answers

Answer:

15.5

Step-by-step explanation:

3rd side =x

3x-6  +2x-3+x =90

6x-3 =90

6x =93

x= 15.5

3(15.5)-6=40.5

2(15.5)+3=34

40.5+34+15.5 =90

Please help, thankss

Answers

Answer:

The second option 5x.

Step-by-step explanation:

Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)

B. the second choice

Identify the zeros/roots: and
Does it have a minimum or maximum?
Axis of symmetry:
Vertex:
y-intercept:

Answers

The zeros are -1 and 3. Minimum. Axis of symmetry is 1. Vertex is 1,-4. Y-intercept is -3.
Hope this helped

if i multiply 60000 by 40 what will i get

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2400000

You can think of this as 6 x 4 = 24 then because there are 5 zeros in the equation you just have to add 5 zeros to the end!

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Michael rolled a number cube that has sides labeled 1 to 6. What is the probability that he rolled a 2 and then a 4?

Answers

Answer:

3/4

Step-by-step explanation:

ILL GIVE YOU BRAINLIEST IF YOU HELP ME

Answers

Answer:

Step-by-step explanation:

The first is equvielnt the second is and the third isnt.

The first is because that is what the expression is above. THe second is because it timesing it by c.

plss help i’ll give brainliest thank you!

Answers

Answer:

its 36 can you give me brainlyyy pleaasee

Answer:

36

Step-by-step explanation:

18 goes into 9 but not 12.

24 goes into 12 but not 9.

36 goes into 9 also into 12.

48 goes into 12 but not 9.

Hope this helps!

Please help ASAP!! Thanks

Answers

Answer:

I and III

Step-by-step explanation:

I ) AC // BD , So  as per basic proportionality theorem

ΔACE ~ ΔBCD

III)AC // BD

∠A ≅ ∠CBD     {Corresponding anlges}

Help me pleaseeeee!!!

Answers

Answer:

(6, 5) is the answer.

Step-by-step explanation:

The y's intersect at (6, 5)

A human resources department manager is tallying recent statistics regarding the relationship between an applicant being offered a job and the applicant having a job interview. Of 200 people applying for a job, 10 had an interview. Of those who had an interview, 7 are offered a job. If an applicant was not interviewed, he or she did not have an opportunity to get the job. Fill in the two-way frequency table below.


Job No Job Total

Interview 7 10

No Interview 0

Total 7 200


What is the probability (rounded to the nearest whole percent) that an applicant does not get a job if he or she has an interview? (4 points)


2%

30%

3%

34%

Answers

I think the paper paper for a copy of the papers that we have to write a copy and copy it in a paper 6765754 paper copy 66456746

What is the value of x? Enter your answer in the box. x =

Answers

Answer:

x = 25

Step-by-step explanation:

Hope this helps! :)

The value of x is 25 units.

What is the area? Please help

Answers

Answer:

75

Step-by-step explanation:

A=1/2h(a+b) =10÷2=5(10+5)

=5×15

=75
The answer is =.5*(10+5)*10
=75mm

I NEED HELP ASAP!!!!!!!! Jason needs to buy a new sweater. The ticket price of the sweater was $89.00. After sales tax was included, the final cost was $94.79. What percent sales tax did Jason pay on his sweater? A.7.25% B.1.09% C.6.50% D.9.67

Answers

Answer:

C

Step-by-step explanation:

Find the difference between $94.79 and $89.00 then do (5.79/89)*100 which is 6.50561797753, then round the initial answer so you get 6.50

Have a great day <3

Please can anyone help me with this math problem?

Answers

Answer:

Answer A

Step-by-step explanation:

[tex]\frac{2}{3}(5)\\\\\frac{10}{3}[/tex]

Put it in a mixed number form.

9. Is the rate below a unit rate? Explain.
60 miles
3 gallons
Answer quick plzzz

Answers

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Answer: 20 miles/1 gallon would be the unit rate so NO 60 miles/3 gallons is not the unit rate

Explanation:

60 / 3 = 20

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

60/3=20

Step-by-step explanation:

hope this helps!

have a good day :)

in a school of 940 pupils, the number of girls exceeds the number of boys by 150. how many girls are there

Answers

Answer:

number of girls=545

Step-by-step explanation:

total no. of students=940

let no. of girls=x+150

let no. of boys=x

x+(x+150)=940

x+x+150=940

2x+150=940

2x=940-150

2x=790

x=790/2

x=395

no. of boys=395

no.of girls=395+150=545

this is my answer.

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