Mathematics High School

19. Find the equation of the line that contains the given points. Write the equation in slope-
intercept form, if possible.
(-5,-5) and (1,7)
Please solve step by step

Answers

Answer 1

Answer:

y = 2x +5

Step-by-step explanation:

1. use slope intercept for y2 - y1 / x2 - x1 --> 7-(-12) / 1-(-5)

2. solve --> 7-(-12) / 1-(-5) = 2

3. put in slope (2) and a coordinate into equation --> y = mx + b --> 7 = 2(1) + b

4. solve --> 7 = 2(1) + b --> b = 5

5. put the equation together --> y = 2x + 5

Related Questions

what is an equation of the line that passes through the point (-6,-1) and is perpendicular to the line 6x-y=7? (has to be in y=mx+b form)

Answers

Answer:

y = [tex]-\frac{1}{6}[/tex] x - 2

Step-by-step explanation:

Slopes of perpendicular lines are opposite reciprocals.

If AB ⊥ CD , then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

~~~~~~~~~~~

6x - y = 7 ⇔ y = 6x - 7

Slope of given line is 6

Slope of a perpendicular line is [tex]-\frac{1}{6}[/tex]

( - 6, - 1 )

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

y = [tex]-\frac{1}{6}[/tex] x - 2

Suppose there is a game of chance that you would like to play. It costs $3 to play one time. There are 100 $1 bills, 20 $5 bills, 3 $20 bills, and 1 $100 bill in a box. You may reach into a box without looking and select one bill. Is this a fair game? Why or why not?

Answers

Answer:

1. It is not a fair game.

2. The game is not fair because the probability of winning and the probability of losing are not equal.  In a fair game, the probability of winning is equal to the probability of losing.  In this game, the probability of losing is 0.81 or 81%, while the probability of winning is 19% (100 - 81).

Step-by-step explanation:

Cost of playing the game one time = $3

Total number of bills in the box = 124 (100+20+3+1)

Chance of losing is represented by 100 of $1 bills = 100/124 = 0.81 or 81%

Chances of losing are represented by 20 of $5 bills, 3 of $20 bills, and 1 $100 bill = 0.19 or 19% (20/124 + 3/124 + 1/124).

please help. i will mark brainliest for whoever is correct.

Answers

Answer:d) g(x)=x^1/3-1.5

Step-by-step explanation:

my classmate is unsure about how to use side lengths to determine the type of triangle. How would i explain this to my classmate

Answers

equilateral triangles are made of all even sides with a angle of 60 degrees

isosceles triangle has two of the same sides and ond different side

scalene triangles have all different sides

brainiest please

jenny has 68 1/2 pages of her left to read. How many pages will she have left after she reads 26 1/6 pages?

Answers

Answer:

42 1/3

Step-by-step explanation:

We subtract 26 1/6 from 68 1/2. We do this by finding the LCM of 6 and 2. That is 6. We multiply 1/2 by 3/3 to get 3/6. Now, we subtract. 68 - 26 is 42, and 3/6 - 1/6 is 2/6. Our answer is 42 2/6. That can be simplified to 42 1/3.

Jenny will have 42 whole 1/2 pages left after she reads 26 whole 1/6 pages if Jenny has a total of 68 whole 1/2 pages.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Jenny has  [tex]68\frac{1}{2}[/tex]  pages.

She reads [tex]26\frac{1}{6}[/tex]

Let's suppose the remaining pages is x, then the value of x:

[tex]\rm x = 68\frac{1}{2}-26\frac{1}{6}\\\\\rm x = \frac{137}{2}-\frac{157}{6} \\\\\rm x = \frac{411-157}{6} \\\\\rm x = \frac{254}{6}[/tex]

[tex]\rm x = \frac{127}{3}[/tex]  or

[tex]\rm x = 42\frac{1}{3}[/tex]

Thus, Jenny will have 42 whole 1/2 pages left after she reads 26 whole 1/6 pages if Jenny has a total of 68 whole 1/2 pages.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

PLS HELP MY HWS DUE IN 30 MINS AND PLS SHOW WORK TY
find each missing measure
m m

Answers

Answer:

measure is the angle right- if so it's 76 each

180-28=152

152÷2=76

WRITE AN EQUATION THAT MODELS EACH STATEMENT :
John is five years more than twice as old as his sister :

Answers

Step-by-step explanation:

Take John's sister's age as "x"

So, so twice his sister's age means = 2x

And 5 years more, means = 2x + 5

So finally John's age = 2x + 5

Answer:

y=2x+5

Step-by-step explanation:

1) 6.61; tenths
You have to round it to the 10ths place

Answers

Answer:

6.6

Step-by-step explanation:

under 5 round down, 5 and up round up

6. A bicycle store costs $2200 per month to operate. The store pays an average of $60
per bike. The average selling price of each bicycle is $80. How many bicycles must the
store sell each month to break even?

Answers

they would need to sell at least 27 bikes

To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.30 per hour. The math club wants to spend less than $99.10 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answers

Answer:

9 hours.

Step-by-step explanation:

31 + 5.9*t < 84.10.

To solve it, collect the constant terms on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10%2F5.9 = 9 hours.

Answer:

7 hours

Step-by-step explanation:

99.10-34=65.1

65.1 divide by 9.30=7

Hope this helps!!

2(3x-2)=14 pls help

Answers

2(3x-2)=14

1) Distribute 2
(6x-4)=14
2) Add (4) one both sides
6x-4=14
6x+4=14+4
6x=18
3) Divide 6 one both sides
6x / 6 = 18 / 6
4) Solve
X=3

Hope it helps

Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!

Answers

Answer:

309.12

Step-by-step explanation:

A = total amount

P = principal

r = interest rate

n = number of times interest is compounded

t = time (in years

A = P(1 + [tex]\frac{r}{n}[/tex])^nt

A = 300(1 + [tex]\frac{.03}{12}[/tex])^12 · 1

A = 300(1.0304)

A = 309.12

Answer:

408

Step-by-step explanation:

Plzzz someone help meeee!!!! :(

Answers

Answer:

5 feet

Step-by-step explanation:

The rose garden is trianglar and so the total of the two shorter sides need to equal more than the longest side. In this case 4+x=9. 6,7, and 8 all meet these requirments but 4+5 is 9, 9=9 which means 5 feet cannot be used

Half the area of the rectangle shown is 24 inches. Write and solve an equation to find the value of 'x'

Answers

Answer:

The answer will b 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

What are the answers to the last two questions?

Answers

Answer:

1. (-1)(x^2+x-6)

2. (-1)(x+3)(x-2)

Step-by-step explanation:

Factoring

It's given the trinomial

[tex]-x^2-x+6[/tex]

1. There is no common factor (given).

2. Factor out -1:

Each term is divided by -1:

[tex]\mathbf{(-1)(x^2+x-6)}[/tex]

3. Now we factor the remaining trinomial. We find two numbers whose sum is 1 and the product is -6. These are 3 and -2, thus the trinomial is:

(-1)(x+3)(x-2)

Does (3,4) satisfy the equation-5x + 2y = 23?

Answers

Answer:

[tex] - 5x + 2y = 23 \\ when \: \: x = 3 \: and \: y = 4 \\ = - 5(3) + 2(4) \\ = - 15 + 8 \\ = 7 \\ no \: it \: doesnot \\ \\ \\ if \: equation \: is \: 5x + 2y = 23 \\ = 15 + 8 \\ = 23 \\ hence \: it \: satisfies[/tex]

If f(n)= n2. n, then f(-4) is?

Answers

Answer:

f(-4) = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(n) = n²

f(-4) is n = -4

Step 2: Evaluate

Substitute:                    f(-4) = (-4)²Exponents:                   f(-4) = 16

Standard Form: 3x+4y=−16

Answers

Answer:

i know the answer

Step-by-step explanation:

PLEASE HELP, THIS IS A BENCHMARK. WILL GIVE BRAINLIEST!

Use the description of AABC below to solve Parts A and B.

m
Part A: Which of the following is the value of x?

A. x = 10
B. x= 5
B. x = 4
D. x = 2

Part B: Order the sides of ABC from shortest to longest. Drag and drop the displayed choices to order.

Answers

you need a picture of the shape.
Bsmegemeisneurmeuebeuee. E 23638 6738?g-/3

please someone help me

Answers

Answer:

-16

Step-by-step explanation:

-8(x+2)=24   x= -5

-8x + (-16) = 24   x= -5

-8*x = -8x

-8*2= -16

___________: next to or adjoining to something else.​

Answers

Hey there!

The correct answer is adjacent.

The exact definition in the Oxford dictionary is "next to or adjoining something else."

Hope it helps and have a great day!

P.S. A picture of adjacent angles is below, you can see they are adjacent because they are connected.

Raphael purchases a new DVD at M-Mart. He
pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?

Answers

Answer:

The amount Raphael spend on DVD including tax is $16.2

Step-by-step explanation:

Tax on DVD = 8%

Amount of tax = $1.20

We need to find the amount Raphael spend on DVD including tax.

Let the cost of DVD = x

We can write the equation: [tex]8\%\:of\:x=1.20[/tex]

Because the tax amount is 8% of actual cost and is equal to 1.20

Now solving to find x:

[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]

So, the cost of DVD = $15

Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax

The amount Raphael spend on DVD including tax = 15 + 1.2

                                                                                    = 16.2

So, The amount Raphael spend on DVD including tax is $16.2

Number 2 please , and if you can explain it too that would be helpful but if not it’s okay:)

Answers

Answer:

CI = 6,IA = 8

Step-by-step explanation:

I cant explain it no further

I believe both sides would be 10, and here is why:

I’m not sure if you’re learning this, but there is this thing called SOHCAHTOA. The SOH stands for Sine = Opposite/Hypotenuse, CAH stands for Cosine = Adjacent/Hypotenuse, and TOA stands for Tangent = Opposite/Adjacent. Now you figure out which one of these three to use based on the values you’re given and where they are on the triangle. So we’ve been given 45 degrees for one of the angles and we want to find the lenght that is Opposite of that angle, and we’re given the side length of the hypotenuse, so you would use Sine = Opposite/Hypotenuse. How you would set that up is sin 45° = x/10rad2. You first find the value of sin 45°, which would give you about .71, so you’re equation would now be .71 = x/10rad2. You then cross multiply to find the value of X, which would give you about 10. And since this is a 45 45 90 triangle, both the legs are the same length. Hope that helps and please give brainliest if it did! :)

NEED HELP WITH THIS

Answers

Answer:

Step-by-step explanation:

think of this as a system of equations where the colors just represent a variable like x or y

I'll just arbitrarily set colors to some variable letter so we have

purple = x

green =y

blue =z

red = a

yellow = b

so we can now rewrite the 4 known equations of the system :)

Eq. 1)  x+y = 13

Eq. 2) 2y+2z=18

Eq. 3) 2x+3y=31

Eq. 4) z + 4a = 12

Eq. 5) a * y = b

so solve the 1st eq for y   =>  y =13-x    then plug that into the 3rd eq and slove for x =>  2x + 3(13-x) =31

2x + 39 -3x = 31

2x-3x = 31 - 39

-x = -8

x=8

plug 8 into Eq. 1 for x and solve for y

8+y = 13

y=5

plug y into Eq 1 and solve for z

2(5) +2z = 18

10 +2z = 18

2z = 8

z = 4

plug z into E1 4 and solve for a

4 + 4a = 12

4a = 8

a = 2

plug a and y into Eq 5 and solve b

2 * 5 = b

10=b

go to the drawing and plug in each of the color values that we put as variable letters above and get an A+ on your homework..  :)

#9 Can anyone please help me, this is Pythagoras Theorem Converse.

Answers

Answer:

(D).

Step-by-step explanation:

[tex]A_{b}[/tex] = A + [tex]A_{s}[/tex]

(A). 12 + 16 > 20

(B). 10 + 18 < 30

(C). 4 + 5 < 12

(D). 8 + 16 = 24

Jasmine sold half of her Barbie doll Collection
and then bought 9 dolls. She now has 13 dolls.
Barbie dolls did she begin with?
How many

Answers

Answer: 8 dolls.

Explanation: 13 - 9 = 4, 4 x 2 = 8.

Work the equation backwards... she has bought 9 extra dolls to add on the the half of her original amount. Without the extra 9 dolls (13 - 9), Jasmine has half of her original amount left (4) and so to find the original amount of dolls, think that if 4 is half the amount, what is 4 half of? 4 is half of 8 and so 8 is the original amounting dolls she had.

Cathy has n CDs Gerry has 3 more than twice the number of CDs that cathy has. in terms of n, how many CD does Gerry have?​

Answers

Answer:

I think this would be 2n+3

Step-by-step explanation:

I learned this in class and I think that since you Gerry has twice the number of CDs (n) + 3, it would be 2n+3. I'm in middle school though, so I don't know if in highschool there's another step, but I hope this helps! :)

What is the solution to this function ?

Answers

Answer:

I think this is the answer

hey guys I need this. it's due tomorrow. and please show step by step because I am willing to give brainly

Answers

C is 44, D is 114 B is also 114, A is 25, E is also 25

I don’t understand someone please help ! In the bottom it says follow the steps above to find the equation of these two trend line
1.(x2 , y2) =(3,12 ) ( x1 , y1) =(-6,-6)
2.(x 2 , y2 ) =(2,7 ) ( x1 ,y1) =(-2,-5)

Answers

Answer:

I really dont know

Step-by-step explanation:

Answer:

step below

Step-by-step explanation:

1. (0,9) (9,0) or (7,2) or (1,8)

2. m = rise/run = (0-9) / (9-0) = -1

3. y = mx + b   for point (9,0)

y intercept ( b) = y - mx = 0 - (-1)*9 = 9

4. equation for trend line: y = -x + 9

check use (7,2): 2 = -7 + 9

Other Questions
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The shorter, milder summers resulted in fewer diseases and longer lifespans than in Virginia.D.The long, snowy winters resulted in hardier crops that were more resistant to disease than those in Virginia. Read these paragraphs and answer the question that follows:1- In 2008, more than one million American students gave nearly 20 million service hours to their communities. They made a difference in peoples lives and learned some important life lessons in the process. Organizations, including schools, are actively promoting service for all citizens as a way to be involved, help others, and improve themselves.2- Service is helping other people and being active in your community. For example, one group of teens planted a community garden with their friends. They grow a variety of vegetables. The garden requires regular care. The teens donate the produce to a local soup kitchen. Workers there use the produce to help feed people in the community. By tending the garden and donating their produce, the teens are actively helping make life a bit better for others in their community.3- Service is valuable in ways that cannot be measured in dollars. People volunteer or serve others without expecting money or gifts in return. Service is not about earning money. It is not just collecting money to give to a group. It is about action and contributing to the common good. The people who serve as well as those who receive help benefit in many ways that are more important than money or gifts. For example, a soup kitchen provides essential food to people who may otherwise go hungry. The soup kitchen is extremely valuable for those struggling to get enough to eat. Those serving learn about compassion and how helping others can improve life for all.4- Millions of Americans are making society better for themselves and for others. They are participating citizens in their community, raising up those who are less fortunate. In return, they become better people who can understand the perspectives and needs of others, which are invaluable and important qualities of good citizens.Which sentence best represents the main idea of paragraph three, the second body paragraph? Service is valuable in ways that cannot be measured in dollars. It is about action and contributing to the common good. Workers there use the produce to help feed people in the community. The soup kitchen is extremely valuable for those struggling to get enough to eat. B is the midpoint of ACBCIf:AB=9x + 1 andBC = 6x + 25Find AC.AC = What can astronomers determine by analyzing the light a star emits? solve the inequality Read the statement about Swifts "A Modest Proposal."Swifts skillful and abundant use of false premises to develop his argument was the most effective way to signal that he was writing a satire.This statement isA. objective because it is influenced by feelings or opinions.B. objective because it is not influenced by feelings or opinions.C. subjective because it is influenced by feelings or opinions.D. subjective because it is not influenced by feelings or opinions. Tickets to an outdoor concert cost $15 for general admission tickets and $25 for VIP tickets. Ticket sales totaled $4500. Write an equation that models this relationship. Let x = the number of general admission tickets sold Let y = the number of VIP tickets sold (PLEASE HELP I WILL MARK BRAINLEST) Limestone is a sedimentary rock and marble is a metamorphic rock. 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Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold for a total of $610.00, how many adult tickets and student tickets were sold.