write an equation for the line that gose through the points (-2,6) and (2, 12)

Answers

Answer 1

Answer:

y = [tex]\frac{3}{2}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )

m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (2, 12 ) , then

12 = 3 + c ⇒ c = 12 - 3 = 9

y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line


Related Questions

1. Determine the domain and range of the function f(x) = x2 + 2. Give your answer in all three notations for continuous
functions.
=
pls help!! algebra 1 math

Answers

Answer:

First what does x represent. For example x could equal 5 so (5)2 +2 simplified is 10 +2 which is 12 :)

Step-by-step explanation:

I NEEEEED HELP AND QUICK T~T

Answers

Answer:

5. Alt ext, 6. Alt int, 7. Alt ext, 8, SS Int, 9. Corr

Step-by-step explanation:

5. Alternate exterior since they are on opposite sides of the transversal but both are exterior to parallel lines.

6. Alternate interior, opposite sides of transversal but both are inside the parallel lines.

7. Alternate exterior, same as #1

8. Same side interior since they are on the same side of the transversal and both are inside the parallel lines

9. Corresponding since they are at the same place on the 2 parallel lines.

Simplify each expression by filling in the box.

Answers

Answer:

1. (2^3)^3 = 2^x  x=9

2. 4^x  x = 6   5^y  y= 9

3. 3^6/3^3 = 3^x   x = 3

can someone help me do this and show work​

Answers

Answer:

Bank A: 24 years, Bank B: 28 years

Step-by-step explanation:

PERIMETER PLEASE HELP

Answers

Answer:

164 round = 160

your answer now can you please help me

Step-by-step explanation:

Plzzz help meeee plzzzzz plzzzz

Answers

Answer: A. 20%

Step-by-step explanation:

First, to find the total number of teachers, we can add 25+32+18+5+20=100

Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:

20 ÷ 100 = 0.2

Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20

Therefore, the correct answer is A.

what's 0.084507042 rounded

Answers

Answer:

i belive by rounding you get 1

Step-by-step explanation:

TI
Assessment
Vhich table of values can be used to graph the function y = - 4x +3?
x
y
-1
-1
0
3
1
7
2
11
X
y
3
O
-1
-9
-1
7
1
3
15
x
0
1
3
-1
-5
-9
2
3
3
X
Y
3
7
11
15
3
or False
function's graph may include solutions that do not appear in its table of

Answers

Answer:

B, y=X. Hope it works

Step-by-step explanation:

find the circumference r = 5 cm c [?] cm c=d

Answers

Step-by-step explanation:

radius of circle =5 cm

circumference of a circle =2πr

=2π×5

=10π=10×3.14

circumference=31.4 cm

find the slope of the line that passes through the pair of points (3,-5), (-4,1)

Answers

Answer:

-6/7

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 1 / 3 - -4

-6 / 7


In 2013, a State Library received a three-year grant to add 69,678 books to their
collection. During a used book sale, the library sold 430 books. If the collection
now is five times more than the original number of books, how many books did
the library hold before it received the grant?

Answers

The number of books the library holds before it received the grant is 17,312 books

Let the original number of books in the library be x

If the State Library received a three-year grant to add 69,678 books to their collection, the total number of books will be x + 69,678

If during a used book sale, the library sold 430 books, the remaining books will be (x+69,678) - 430 = x + 69,248

If the collection  now is five times more than the original number of books, then;

x + 69,248 = 5x

5x - x = 69,248

4x = 69,248

x = 69,248 /4

x = 17,312

Hence the number of books the library holds before it received the grant is 17,312 books

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ANYBODY HELP. EXPERTS HELP!!!!!!!!!!

Answers

Answer:

Question 1  Between 3 - 4 hrs

Question 2 Between 1 - 3 hrs

Question 3 Between 4 - 8 hrs

Question 4 Between 2 - 3 hrs

Question 5 Represents the starting position

Step-by-step explanation:

5x+6=2x-1

this is a question I have​

Answers

Answer:

X = -2.33333

Step-by-step explanation:

5x= 2x -7

3x = -7

X = -2.33333

Answer:

yurrr

Step-by-step explanation:

x= -7/3

One bunch of seedless black grapes cost $2. How many bunches can you buy for $20?

Answers

Answer:

If one bunch is two dollars even, then you could buy 10 bunches.

Step-by-step explanation:

20 divided by 2 = 10

So, you could buy ten bunches of grapes.

Answer:

the answer is 10 because 2 goes into 20 10 times.

Step-by-step explanation:

What is the radius of a circle whose equation is x2 y2â’10x 6y 18=0? 2 units 4 units 8 units 16 units.

Answers

The radius of the circle is 4 units.

Given to us:

[tex]x^2 + y^2 - 10x + 6y + 18 = 0[/tex]

The generalized format for radius of a circle is given by:

[tex]\\(x - h)^2 + (x - k)^2 = a^2\\where,\\h, k= coordinate\ of\ the\ center\ of\ the\ circle\\a= radius\ of\ the\ circle[/tex]

therefore after rearrangement of the equation we get,

[tex]x^2 + y^2 - 10x + 6y + 18 = 0,\\x^2 - 10x + y^2 + 6y =- 18,\\[/tex]

adding 25 and 9 on both the sides to bring it in the generalized format for radius of a circle,we get

[tex]x^2 - 10x+25 + y^2+ 6y+9 =-18+25+9,\\[/tex]

[tex](x - 5)^2 + (y + 3)^2 = 16\\(x - 5)^2 + (y + 3)^2 = 4^2\\[/tex]

Hence, the coordinate for this circle are x=5 and y=-3. And the radius of the circle is 4 units.

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five million four thousand three hundred in standard form

Answers

Answer:

5,004,300

Step-by-step explanation:

The standard form of five million four thousand three hundred is 5,004,300.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

Answer:

5,004,300

Step-by-step explanation:

The standard form of five million four thousand three hundred is 5,004,300.

Hoped this helped.

GeniusUserGeniusUser

Multiplying by 0.89 is the same as decreasing by _____%.

Answers

Answer:

1-0.89=0.11

0.11*100=11%

The cost of paving a square room at the rate of RS.15 per m2 is Rs.1500. What is the Area and the Perimeter of the room?​

Answers

hope it helps you...................

....

..

The area of the room is equal to 100 m² and perimeter is 40m

What is Area?

The area is the space covered by the object. It is the region occupied by any shape. While measuring the area of a square, we consider only the length of its side. All sides of a square are equal; hence, its area is equal to the square of the side and the perimeter of a square = 4 ×  side units.

Given here: Unit rate of painting per meter square=15 and it cost 1500 in total

Thus Area = 1500/15

                  =100 m²

Then a²=100 and a=10

∴Perimeter of the square room is = 4×10

                                                        =40 m

Hence, The area of the room is equal to 100 m² and perimeter is 40m

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#SPJ2

In ∆, AB = AC and ∠A = 1000
, then ∠B is
a) 200
b) 400
c) 800
d) 600

Answers

Answer:

D is the answer

brainlilest me

what’s 75 percent of 120

Answers

Answer:

90

Step-by-step explanation:

q

It’s 6.25
Multiply 75 by 100 and divide it by 120z

how do u find the order of operations of 8×3+70÷7-7 ​

Answers

24 + 10 - 7 = 34 - 7 = 27

HELLPPPPPPP


please help ​

Answers

Answer:

i think that's A

I'm just guess

What is the zero of the function?

Answers

1 cause the zero is where the line crosses at the x axis

Which is 5log x - 6log (x - 8) written as a single logarithm?

Answers

Answer:

log[x⁵/(x-8)⁶]

Step-by-step explanation:

5log(x) - 6log(x-8)

log(x⁵) - log((x-8)⁶)

log[x⁵/(x-8)⁶]

take a factor out of the square root: 4√450

Answers

Answer:

60√2

Step-by-step explanation:

Factor the value 450

450 = 9 x 50 = 9 x 5 x 2

4√450 = [tex]4\sqrt{9*25*2[/tex]

            = [tex]4*3*5\sqrt2[/tex]

            = [tex]60\sqrt2[/tex]

[tex]60\sqrt2[/tex]

-Chetan K

Following are the calculation to the square root:

Given:

[tex]\bold{4 \sqrt{450}}[/tex]

To find:

square root=?

Solution:

Calculating the factor of 450:

[tex]\to 450 = 9 \times 50 = 9 \times 5 \times 2 \\\\\to 4\sqrt{450} =4 \sqrt{ 9 \times 25 \times 2}\\\\[/tex]

               [tex]=4 \times 3 \times 5 \sqrt{2} \\\\ =60 \sqrt{2} \\\\[/tex]

Therefore, the final answer is "[tex]60 \sqrt{2}[/tex]".

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Which of the following is the best definition of vertical angles?

Vertical angles are angles formed by two intersecting lines.
Vertical angles are formed by intersecting a vertical and horizontal line.
Vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
Vertical angles are a pair of congruent angles with a vertical line of symmetry.

Answers

Step-by-step explanation:

Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.

I'd say it's the 3rd option:

"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."

but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.

If the formula P = a + 2b is rearranged then a = *
p - 2b
2b - p
P + 2b
2Pb

Answers

[tex] \: \: \: [/tex]

[tex]a = - 2b \: + \: p[/tex]

refer to the attachment for explanation

hope it helps
P=a+2b

Take 2b to left sign turns negative

a=-2b+pa=p-2b

Option A

plz help thank you so much thumbs up

Answers

Answer:

1. B - 12.5 miles per hour

2. A - 0.36 hours

Part C
Suppose the pet food company's strategy is to increase the proportion of sales orders from new stores in each
region to 25% during the coming year.
Consider the data and proportions of sales from new stores for each region in the first month. Do you think
additional training is necessary for all of the sales representatives? Why or why not?
Type your response in the box.

Answers

Answer:yes, additional training is necessary because if the employee does not have training they will mess up and ur stores reputation will be ruined

Step-by-step explanation:

solve one step equation x - 10.5 = 2.5

Answers

Answer:

x = 13

Step-by-step explanation:

need to solve for x so we get it by itself by adding 10.5 on the left side to cancel it out. what you do to one side you do to the other so since we added 10.5 to the left we need to add 10.5 to the right 10.5 + 2.5 =13

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