Write an equation in slope-intercept form of the line that passes through (7, 2) and (2, 12).
y =

Answers

Answer 1

Answer:

y = - 2x + 16

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 ) = (7, 2) and (x₂, y₂ ) = (2, 12)

m = [tex]\frac{12-2}{2-7}[/tex] = [tex]\frac{10}{-5}[/tex] = - 2, then

y = - 2x + c ← is the partial equation

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

Using (2, 12 )

12 = - 4 + c ⇒ c = 12 + 4 = 16

y = - 2x + 16 ← equation of line


Related Questions

Elijah is taking a multiple choice test with a total of 100 points available. Each
question is worth exactly 2 points. What would be Elijah's test score (out of 100) if he
got 8 questions wrong? What would be his score if he got x questions wrong?
Score with 8 questions wrong:
84
Score with x questions wrong:

Answers

Answer:

84 and then 100-2x

Step-by-step explanation:

i dont know how but i know thats right

Write an expression that will tell us how many calories
are in a package with m cookies and n crèmes per
cookie.

Answers

Answer:

300

Step-by-step explanation:

i have a box and cremes

given f(x) = 6 (1 - x) +11 what is the value of f(8)

Answers

f(8) = 6 (1-8) +11
= 6 (-7) + 11
= -42 +11
= -31

Can someone help me out with this?

Answers

i Think all are correct not sure tho

Answer:

See below.

Step-by-step explanation:

Note: I am considering that you are supposed to think of the graph maximum point as P(x, y) = P(0, 25).

It means that the absolute maximum at x = 0, so f(0) = 25.

What is the maximum of this graph and what does it represent?

When the ball is on the ground? No, once the maximum of this graph is 25 feet and the ground is 0 feet, the statement is false.

Where the ball ended? No, the final position is h = 0 feet, not h = 25 feet.

Where the ball started? Yes, the ball was dropped in h = 25 feet.

It represents the highest point on the graph? Yes.

25 feet? Yes.

compare these amounts. use or =.

8oz ________ 8 cups

Answers

Answer:

8 cups is greater then 8 oz

Step-by-step explanation:

10 years ago a father was ten times older than his son. The father is now 40. How old is the son now?

Answers

Answer:

the son is 13

Step-by-step explanation:

joe borrowed 12 books from the library four books were for himself the rest were for his little brother how can the number of books that were for his little brother be found?
a. multiply 4 times 12
b. subtract 4 from 12
c. add 4 and 12

Answers

Answer:

subtract 4 from 12

Step-by-step explanation:

Find the perimeter of triangle QRS



helppp plzzz thx

Answers

Answer:

A. 36 cm

Step-by-step explanation:

Perimeter = SQ + RS + RQ

✔️Find SQ:

SN = SM = 10 cm (tangents drawn from an external point)

QL = QN = 2 cm (tangents drawn from an external point)

SQ = SN + NQ

SQ = 10 + 2 = 12 cm

✔️Find RS:

RS = RM + MS

RM = RL = 8 - 2 = 6 cm

MS = 10 cm (given)

Therefore,

RS = 6 + 10 = 16 cm

✔️RQ = 8 cm (given)

Thus:

Perimeter = SQ + RS + RQ

Perimeter = 12 + 16 + 8 = 36 cm

10 hours to 6 hours. What is the percent of Change

Answers

Answer:

40% decrease

Step-by-step explanation:

10% = 1

(multiply by 6)

60% = 6

100% - 60% = 40%

100%-60%=40%... so 40% is the answer

PLESE HELP, I WILL MARK ANSWER!!!!!!

Answers

it is D aaaaaaaaaa word count aaa h aaa hhhh aaaaaa aa a a a a a a a a
It’s D ! i hope this helped you ☺️

To find the quotient 5/7 divided by 1/3 multiply..
Answers:
Multiply 7/5 by 1/3
Multiply 7/5 by 3
Multiply 5/7 by 3
Multiply 5/7 by 1/3

Answers

Answer:

Multiply 5/7 by 3

Step-by-step explanation:

To find the quotient (division) multiply by the reciprocal. The reciprocal of 1/3 is 3.

True or False: 4×4×4+5×5 = 43 + 52

Answers

Answer:

False

Step-by-step explanation:

4x4=16

16x4=64

5*5=25

64+25=89

Therefore the answer is false, because 89 is not equal to 95.

Answer:

false

Step-by-step explanation: you don't really need this part but all you need to know is that it is false :)

what is 2÷ 5/12 ??? pls help me im rly stuck on this question??​

Answers

Answer:

4.8

Step-by-step explanation:

what is the area of 2, 1/3, 4/3 and 2/9.​

Answers

Answer: 35/3 or 11 2/3

Step-by-step explanation:

The answer is 35/3 Or 11 2/3

please get this done quick

Answers

Answer:

its A: (-1,-1/2)

Step-by-step explanation:

Find the holes in the graph by factoring and cancelling.

Which rule describes the composition of transformations
that maps ABCD to AB"C"D"?

O T5, -6 ory = -x(x, y)
O ry=-xoTs, – g(x, y)
O T6 -5 0 ry-axis(x, y)
O ry-axis T6, – g(x, y)

Answers

Answer:

i hope number c is correct answer

The rule which describes the composition of transformations is reflection around y axis and translation of (6, -5).

What is Geometric Transformation?

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle BCD has the coordinates equal to,

B(1, 4), C(1, 2) and D(5, 3).

Let the triangle be reflected around the Y axis.

A point (x, y) after the reflection over the Y axis changes to (-x, y).

The coordinate points are,

B'(-1, 4), C'(-1, 2) and D'(-5, 3).

Now let the triangle be translated to (6, -5).

The coordinates of the triangles are,

B''(-1+6, 4-5), C''(-1+6, 2-5) and D''(-5+6, 3-5)

B''(5, -1), C''(5, -3) and D''(1, -2).

This is the exact coordinates of triangle B''C''D''.

Hence the correct transformation is reflection around y axis and translation of (6, -5).

Learn more about Geometric Transformations here :

https://brainly.com/question/10957993

#SPJ5

3 lbs converted into ounces

Answers

Answer:

48 ounces

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Consider Triangle ABC with vertices O (0, 0), A (a, 0), and B (b, c). Sketch a diagram and

prove that all altitudes intersect each other at one point.

Answers

Answer:

I'm truly sorry I have no idea I'm only here for points

Plssssssssssssssssssssssssss

Answers

The answer is 9.
I hope that helps you!

Answer:

9

Step-by-step explanation:

1/9(9^2)

1/9(81)

9

what is equal to 18 tens

Answers

Answer:

180

Step-by-step explanation:

so if it is addition like I assume it is, you would do this:

18 +18 +18 +18 +18 +18 +18 +18 +18 +18

that is also equal to 18x10.

so 18 ten times. a simple trick for multiplying by ten is just adding a zero, so 18x10 is 180.

I THINK THIS IS RIGHT LOL

Hey there!

18 * 10

≈ 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18

≈ 36 + 36 + 36 + 36 + 36

≈ 72 + 72 + 36

≈ 144 + 36

≈ 180


Therefore, the answer should be: 180


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

-7.4r - 6.31 = 3.23 - 5.6r

Answers

Answer:

r=−5.3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7.4r−6.31=3.23−5.6r

−7.4r+−6.31=3.23+−5.6r

−7.4r−6.31=−5.6r+3.23

Step 2: Add 5.6r to both sides.

−7.4r−6.31+5.6r=−5.6r+3.23+5.6r

−1.8r−6.31=3.23

Step 3: Add 6.31 to both sides.

−1.8r−6.31+6.31=3.23+6.31

−1.8r=9.54

Step 4: Divide both sides by -1.8.

−1.8r/−1.8=9.54/−1.8

r=−5.3

Which graph shows the system 1 x++y=2 ? [x2 + y2 =9 ​

Answers

Answer:

The graph of the system in the attached figure

Step-by-step explanation:

we have

isolate the variable y

----> equation A

This is the equation of a vertical parabola open down (because the leading coefficient is negative)

The vertex represent a maximum

the vertex is the point (0,2)

---> equation B

This is the equation of a circle centered  at (0,0) with radius 3 units

The solution of the system of equations is the intersection points both graphs

using a graphing tool

The solutions are the points (-2.05,-2.19) and (2.05,-2.19)

see the attached figure

Answer:

It's C!

Step-by-step explanation:

Just got it right :>

Use the Distributive property to write each expression as an equivalent algebraic expression.
7(-2x + 6)

Answers

Answer:

Step-by-step explanation:

we will use distributive property to write an equivalent expression:

7(-2x)+7(6)

80% of p is 20. What is p? 75% of b is 12. What is b?

Answers

Step-by-step explanation:

80% of p = 20

=> 0.8p = 20, p = 20 / 0.8 = 25.

75% of b = 12

=> 0.75b = 12, b = 12 / 0.75 = 16.

Answer:

[tex]80\% \: of \: p = 20 \\ \frac{80}{100} p = 20 \\ \frac{4}{5} p = 20 \\ p = \frac{20 \times 5}{4} \\ \boxed{p = 25}[/tex]

25 is the right answer.

[tex]75\% \: of \: b = 12 \\ \frac{75}{100} b = 12 \\ \frac{3}{4} b = 12 \\ b = \frac{12 \times 4}{3} \\ \boxed{b = 16}[/tex]

16 is the right answer.

Find the value of x.

Answers

Answer:

Since all angles of a triangle are equal (60°), it's an equilateral triangle hence all sides are equal.

hence x = 16 units

Which expression is equivalent to the one given? 3 ( 2 n − 4 ) + 6 n

Answers

Answer:

7n-12

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 n - 12

Two percent of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy cigars. Determine the probability that a customer neither buys beer nor buys cigars.

Answers

Answer:

0.95

Step-by-step explanation:

The computation of the probability that a customer neither buys beer nor buys cigars is given below;

Given that, the probabilities are

The customers who purchased cigars be 0.02

The customers who purchased cigars + beer 0.50

And, the customers who purchased beer + cigars be 0.25

Now the probabilities where the customer purchased both

= 0.05 × 0.02

= 0.10

The probability where the customer purchased beer is

= 0.01 ÷ 0.25

= 0.04

Now the probability where a customer neither buys beer nor buys cigars is

= 1 - 0.02 + 0.04 - 0.01

= 0.95

someone help
thank you ​

Answers

Answer:

30000+200000

Step-by-step explanation:15% bc its 3 years, 15% of 200000 is 30000

Answer: 230 000

Step-by-step explanation:

2017 - 2014 = 3

if each year it goes up by 5% and it's already been 3 yrs.

then 3 x 5 = 15%

now it's at 15 %

Value :

200 000(0.15)

= 30 000

Cost of house after 3 yrs :

200 000 + 30 000

= 230 000

The native bird population in a city is decreasing at a rate of 10% per year after 1 year the population of native birds is 14000 complete the recursive defined function to describe the situation.

Answers

The recursively defined function that describes the given situation would be f(n) = f(n-1) x 0.9, after four years, 9185 birds will be remaining.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

The native bird population in a city is decreasing at a rate of 10% per year after 1 year the population of native birds is 14000.

f(0) = 14000

f(n) = f(n-1) x 0.9

f(1) = f(0) x 0.9

= 14000 x 0.9

= 12600

f(2) = f(1) x 0.9

= 12600 x 0.9

= 11340

f(3) = f(2) x 0.9

= 11340 x 0.9

= 10206

f(4) = f(3) x 0.9

= 10206 x 0.9

= 9185.4

Therefore, after four years, 9185 birds will be remaining.

Learn more about function;

https://brainly.com/question/12431044

Answer:14000, 0.9, 10206

Step-by-step explanation:

pluto- just took the test

Chau made $252 for 18 hours of work.
At the same rate, how much would he make for 9 hours of work?

Answers

Answer:

$126.00

Step-by-step explanation:

divde by 2

Other Questions
Four different insect mouthparts are shown.Which is best adapted for chewing leaves?Insect MouthpartsOWOXOZW X Y Z What's the effect of mass and speed on kinetic energy How are the concepts of markup and markdown related to the percent equation? the right answer will be marked the brainliest WRITE A THESIS STATEMENT The best way to get people invested in thelibrary is to show them the joy of reading.For that reason, the library should hold abook sale. People could donate books thatthey no longer want, and the librarianscould find books that the library no longerneeds. Volunteers would need to sort thebooks into categories and arrange them inan inviting way, like at a bookstore. Booksshould be inexpensive so people will buymore of them maybe fifty cents forpaperbacks and two dollars for hardcoverbooks. A book sale would appeal to peopleof all ages, from little kids to older people. There should also be a table where people can sign up for library cards. that way, if visitors do not find any books they want at the sale they can come back to the library. Read the sentence.Few people settled on the plateau, which is an elevated area of relatively flat land.What type of context clue helps describe the meaning of the underlined term? plateau is the underlined term btwinferencerestatementantonym or synonymdefinition or explanation The following table shows the number of alligators in each body of water near Tom's house. Number of alligators 7,0,11,10 find the mean number of alligators. Then, tell what the score says to do instead! Which Solfege syllables should she have sung and how long/short should they have been instead? Fill in the blanksThe number 2000 is__________times as much as the number 200.The number 0.5 is_________as much as the number 5. How is the equation shifted from its parent graph: y = x2?y = -(x + 8)2 + 12Right 8, up 12,reflected in the xaxisRight 8, down 12,reflected in the xaxisLeft 8, up 12Left 8, up 12,reflected in the xaxis PLEASE HELP!!!!!!!!!!!!! A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed.A parallelogram with a height of 6 yards and side length 9 yards. The height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. Rhombus is split into a soy half and a corn half.Each bag of soil covers 20 square yards. How many bags should the farmer purchase? All East Asians are either ethnic Chinese or ethnic Japanese.True or false Which percentage of the students finish sixth grade in Chile?30%40%20%10% - (3 x 100) + (7 x 10) + (4 x D) + (2 x 100) 2. Many people believe thata mutation will always resultin the formation of a deadlytumor, or the developmentof a major body defect.Explain why this is incorrect. A message can be...........differently by different people. what is the range of these numbers: 79 72 78 -71 -91 65 Please answer the following question in a complete French sentence using "il y a" Quest-ce quil y a sur ton bureau? Which governing body falls under the rules and regulations of Article 1 of the Constitution? Legislative (makes laws) B. Senate A. governor C. Executive Branch D. state judge