What is an
equation of the line that passes through the points (-6,5) and (6, 7)?

Answers

Answer 1

Answer:

[tex]y = \frac{1}{6} x + 6[/tex]

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.

Use the gradient formula below to find the value of m:

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

*(x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

[tex]m = \frac{7 - 5}{6 - ( - 6)} \\ m = \frac{2}{12} \\ m = \frac{1}{6} [/tex]

Substitute the value of m into the equation:

y= ⅙x +c

To find the value of c, substitute a pair of coordinates.

When x= 6, y= 7,

[tex]7 = \frac{1}{6} (6) + c \\ 7 = 1 + c \\ c = 7 - 1 \\ c = 6[/tex]

Thus, the equation of the line is y= ⅙x +6.


Related Questions

Find the equation of a parabola that has a vertex of (3,7) and contains the point (-2,-6)

Answers

Answer:

Step-by-step explanation:

Charli deposits $5,000 in a savings account earning 5.75% simple interest per year.

PART A: How much interest will Charli earn for a period of 10 years?

PART B: How much money will there be in Charli's account after 10 years?


I need help quick! Could you and by putting PART A: (answer) and PART B: (answer) Thank you!!! Please help!

Answers

The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 5.75% per year for 10 years is $7,875.00.

Answer:

PART A: 2,875

Step-by-step explanation:

Casey is making a flower arrangement with roses r and carnations c the cost of each rose is $0.50 and the cost of each carnation is $0.10 . the arrangement has a total $20. how many of each flower did Casey put in his arrangement

Answers

Answer:

r+c=80

.50r+.10c=20

Step-by-step explanation:

each rose costs $0.50

each carnation costs $0.10

The number of roses is r, and the number of carnations is c.

the arrangement has a total of 80 flowers, so we have that:

r + c = 80

the cost is $20, so we have:

r*0.5 + c*0.1 = 20

so our system of equations is:

r + c = 80

r*0.5 + c*0.1 = 20

and we can also solve it; for this isolate one of the variables in the first equation:

r = 80 - c

now let'r replace this in the second equation:

(80 - c)*0.5 +c*0.1 = 20

40  - c*0.4 = 20

c = 20/0.4 = 50

this means that we have 50 carnations, and the other 30 are roses.

i was so lost that i almost forgot the answer was in my face

hope this help shawty

Write the statement below as a math expression



twice the difference of a number and eight

A.
2n+8

B.
2n-8

C.
2(n+8)

D.
2(n-8)

Answers

D. 2(n-8)

The difference of a number and eight is separate from being multiplied by 2 which is why you would use parenthesis.

The school will not announce a snow day unless there is at least 10 inches of snow on the ground. If it has already snowed 1.5 inches, how much more must it snow before school is canceled?

Answers

Answer:

8.5 inches

Step-by-step explanation:

10 - 1.5 = 8.5

Need a brainliest? Answer this !!! Correct and fast answers only!!

Answers

Answer:

B

Step-by-step explanation:

Any number times 1 is itself, thus the multiplicative identity property

Which graph represents 2x − 5y ≥ − 20

Answers

Answer:

Go to desmos and it will answer literally all of your graphing questions. Just type in desmos graphing calculator.

Step-by-step explanation:

We are two numbers
Our median is 3
Our minimum is 2, What numbers are we?

Answers

Answer:

2,4

Step-by-step explanation:

median=3

minimum is 2

first no. is 2

second no. is 4

2,4 lol hahaha your welcome I’m sure I’m right but Yee

Follow the order of operations.

(4-1 + 8 ÷ 8) muliplied by 5

Answers

Answer:

20

Step-by-step explanation:

(4-1 + 8 ÷ 8 )= 4

4 x 5 = 20

how many comments dose the cat video get and how many dose the dog get​

Answers

Answer: 8 cat videos 7 dog videos

No

Step-by-step explanation:

what is the value of x

Answers

Answer:

x=55⁰

Step-by-step explanation:

the line js supplementary so 180-125= 55

pls vote brainliest

g(x)=x+2 graph the parent function

Answers

Answer:

Step-by-step explanation:


PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

okaaaay. this is 10 units to the y axis...

Step-by-step explanation:

you can use the method “rise over run”. wherever the line touches a new box is where you stop. in this case, you go up two and over one. meaning your slope is 2.

What is the congruence statement?

Answers

Triangle JPA is congruent to triangle TVS

Answer:

triangle pjl is congruent to it's by side side side theorem

The density of a certain material is such that it weighs 4 kilograms per cup of volume. Express this density in pounds per liter. Round your answer to the nearest tenth.
Pls help

Answers

Answer:   37.2 pounds per liter

Step-by-step explanation:

The density of the material of 4 kg/cup on converting it into pounds per litre will be 37.2 lbs/lt.

Given that, the density of a certain material is such that it weighs 4 kilograms per cup of volume.

What are derived units?

Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the international system of units (SI). There are two types of derived units: dimensionless and the product of base units.

Here it is given that, the density d of a certain material is 4 kilograms per cup of volume and it is finding the density of material in pounds per litre.

Now it is known that,

1 kg equals 2.2 pounds

Now, 1 cup of volume equals 0.237 lt.

Converting the density d of material in pounds per litre and rounding it to the nearest tenth:

d=4 kg/cup

=4×2.2/0.237

=37.13≈37.1 pounds/lt

Therefore, the density of the material of 4 kg/cup on converting it into pounds per litre will be 37.2 lbs/lt.

To learn more about the density visit:

https://brainly.com/question/15164682.

#SPJ2

look at the pic below
answer quick please I need this asap
i will mark thx, star you & mark brainliest

Answers

Answer:

2 and 1 because look at the question

What is the correct answer for both? ​

Answers

Answer:

14)   C (-2, 4)

15)   D (-3, -3)

Step-by-step explanation:

-6x + 4y = 28

6x + 9y = 24

-6x + 4y = 28

4y = 28 + 6x

y = 7 + 1.5x

6x + 9y = 24

6x + 9(7 + 1.5x) = 24

6x + 63 + 13.5x = 24

19.5x + 63 = 24

19.5x = -39

x = -2

-6x + 4y = 28

-6(-2) + 4y = 28

12 + 4y = 28

4y = 16

y = 4

____________

4x - 4y = 0

-4x + 3y = 3

4x - 4y = 0

4x = 4y

x = y

-4x + 3y = 3

-4(y) + 3y = 3

-4y + 3y = 3

-1y = 3

y = -3

4x - 4y = 0

4x - 4(-3) = 0

4x + 12 = 0

4x = -12

x = -3

what dose –2 + 3 equal

Answers

Answer:

-2 + 3 = 1

Step-by-step explanation:

Brainliest? uwu

ugh god im getting sick of this lol​

Answers

Hey the answer to your question is -2 . :))

Find the slope of the line that passes through the pair of points: (2,-3) and
(0,-2) *
1 point

Answers

Answer:

It would be -1/2

Step-by-step explanation:

-2--3/0-2=-1/2

A stovetop burner on medium reaches 95°C. Which will also receive a flow of heat directly from the burner

Answers

Answer:

The surrounding air

Step-by-step explanation:

Answer:

the surrounding air

Step-by-step explanation:

25 penalties decreased by 32% is __penalties.

Answers

If you decrease something by 32%, you are left with 68%

0.68(25) = 17
The answer is 8 becuase 25 time .32 becuase 32%=.32

what amount that is greater than one is represented by a percent that is what 100%.

Answers

Answer:

Step-by-step explanation:

A percent greater than 100% represents a comparison between one value that is greater than another value, with the second value being the base, represented by 100%. In situations like rainfall and revenue, these kinds of comparisons are common.

Bacteria doubles every 10 minutes. If you start with 2 bacteria in a petri dish, how many bacteria will there be after 40 minutes?

Answers

Answer: I think the answer is 32 bacteria after 40 minutes.

Step-by-step explanation:

I think that's right because the bacteria that have previously multiplied will also be multiplying. 2 becomes 4, 4 becomes 8, etc. until you've reached 40 minutes. (I'm honestly unsure, but I think this is right?) I hope this helped!

9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(x) = 5x - 4[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(2a) = 5(2a) - 4[/tex]

[tex]f(2a) = 10a - 4[/tex]

[tex]156 = 10a - 4[/tex]

[tex]10a - 4 = 156[/tex]

Add sides 4

[tex]10a - 4 + 4 = 156 + 4[/tex]

[tex]10a = 160[/tex]

Divide sides by 10

[tex] \frac{10a}{10} = \frac{160}{10} \\ [/tex]

[tex]a = 16[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

2(x+y) = 5
How would I solve for x ?

Answers

After you reach 2x=5-2y you take the 2 and put it on the other side by division so you can end up with only x on the left side so in the end it would be x=(5-2y)\2

What can you conclude about the line represented in the table? Select all that apply and have a good day!

Answers

Answer: B, C, and F

Step-by-step explanation:

for m(x)=-2x+7, find the value of x for which m(x)=13

Answers

Answer:

x = -3

Step-by-step explanation:

m(x) = -2x + 7

13  = -2x + 7

6 = -2x

x = -3

The answer is x= -3




The explanation if you need it is since m(x)=13 we get the equation 13=-2x+7. Then we use the equation to find x.


13= -2x+7
-7 -7
6= -2x
— —
-2 -2

-3=x

You then want to check your answer by substituting -3 for x

13= -2(-3) +7
13= 6+7
13=13
If your answers match then your answer is correct

anyone whos great at math?!?!?!?!!? the question is [tex]-x^2 -4xy+y^2 when x=-5 and y=-2[/tex]
I ALSO NEED TO SHOW MY WORKK PLAESEEEEE

Answers

Answer:

-19

Step-by-step explanation:

x= -5       y = -2

-x^2 - 4xy + y^2

- -5^2 -4(-5 x -2) -2^2                      Plug in

+ 5^2 -4(-5 x -2) -2^2                      Change the signs for - -5

  5^2 - 2^2 - 4(10)                           Place Liked Terms together

  25 - 4 - 40                                    Subtract

      21 - 40

         -19

 

Science, technology, engineering and mathematics or STEM education was an initiative developed by the________________.
A. National Science Foundation
B.National Scholar Foundation
C. National Schools Foundation
D. National Secondary Foundation

Answers

Answer:

A

Step-by-step explanation:

look it up on google

Answer:

d

Step-by-step explanation:

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