Write equations (both, Point Slope & Slope Intercept Forms) of the line with
slope of -2 and point (9,2).

Answers

Answer 1

Answer:

Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]

Step-by-step explanation:

We need to write equation of line having slope -2 and point (9,2)

a) Equation in Point Slope Form

The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

Where x₁ and y₁ are the points of line and m is slope.

x₁=9 and y₁=2 and m=-2

Putting values in formula and finding equation:

[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]

So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

b) Equation in Slope Intercept Form

The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept

Finding y-intercept using slope m=-2 and point(9,2)

[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]

The equation in slope m=-2 and b=20 is:

[tex]y=mx+b\\y=-2x+20[/tex]

So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]


Related Questions

Which statement about the planes is true?

Answers

bruh

why

what

?

osea  si pero al a vez cuando pasa osea si parece pero no lo es pero lo es cuando puede ser

HELP FAST !!!

Find the solution of the system of equations.
-8x + 7y = -2
- 8x + 8y = 8

Answers

-56x + 49y= -14

- 56x + 56y=64

105y=50

y=0.48

-8x+7(0.48)=-2

-8x+3.36=-2

-8x=-5.36

x=0.67

Answer:

(x, y) = (9, 10)

Step-by-step explanation:

-8x + 7y = -2...... (1)

- 8x + 8y = 8......(2)

Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:

-64x + 56y = - 16...(3)

-56x + 56y = 56.....(4)

Subtracting equation (4) from equation (3), we find:

-64x + 56y = - 16

-56x + 56y = 56

+ - -

_____________

- 8x = - 72

x = - 72/-8

x = 9

Substituting x = 9 in equation (1), we find:

-8(9) +7y = - 2

-72 +7y = - 2

7y = 72 - 2

7y = 70

y = 70/7

y = 10

(x, y) = (9, 10)

2.Larry's car travels 230 miles on 10 gallons of fuel. What is the ratio of miles to
gallons for Larry's car?
A 10 Miles to 1 Gallon
B 10 Gallons to 1 Mile
<
23 Miles to 1 Gallon
D 23 Gallons to 1 Mile

Answers

Answer:

D

Step-by-step explanation:

If he travels 230 miles on 10gallons of fuel, then he will travel 23 miles on 1 gallon of fuel. So it is 230 gallons to one mile.

Brainliest...don’t need an explanation

Answers

Answer:

13-0.75w+8x
13-0.75(12)+8(1/2)
13-9+4
4+4
8

Answer:

8

Step-by-step explanation:

The graph shown below represents the relationship between the number of cookies and the cost of the cookies that a bakery sells. What is the unit rate and what does it represent? Y 13 12 10 9 ME Cost ($) B 12 14.06L 8 10 12 14 16 18 20 22 24​

Answers

Answer:

[tex]Rate = \$0.5[/tex] per cookie

Every cookie is sold at $0.5

Step-by-step explanation:

See attachment for complete question

Required

Determine the unit rate

To solve this, we simply take any corresponding values of Cost of cookies and number of cookies

When

Cost = $2

Number = 4

[tex]Rate = Cost/Number[/tex]

[tex]Rate = \$2/4[/tex]

[tex]Rate = \$0.5[/tex] per cookie

Pick another corresponding values

When

Cost = $6

Number = 12

[tex]Rate = Cost/Number[/tex]

[tex]Rate = \$6/12[/tex]

[tex]Rate = \$0.5[/tex] per cookie

Hence, the unit rate is $0.5 per cookie

What it represents is that: Every cookie is sold at $0.5

What is the remainder after you divide 7*7*7... 124 times by 4

Answers

Answer:

1

Step-by-step explanation:

Remainder if 7*7*7... 124 times is divided by 4

The remainder when (7^124) / 4

Using python console:

a = 7**124

b = 4

c = a%b

print(c)

Output = 1

Hence, the remainder when 7^124 is divided by 4 is 1

Selena bought a TV for her bedroom. The original price was $299.99, but she bought it on sale for 30% off. Selena also paid 15% tax. How much money did she spend on the TV?

Answers

I believe $241.50 would be your answer

Stephanie ate 12 of the 40 chips in a bag. What percentage of the chips did Stephanie eat?

Answers

Answer:

30%

Step-by-step explanation:

Answer:30%

Step-by-step explanation:


there is a ratio of 7 boys to every 4 girls. If there are 64
s, how many boys are in the school?

Answers

Answer:

112

the answer is 112 :)))))

help please! will mark brainliest!

Answers

Answer:

Hello! I'll help, but where is the question?

Step-by-step explanation:

Answer:

what do you need help with?????

Gina says that for all real numbers a and b, ab=ba. is this statement true or false? If false, give a counterexample

Answers

Answer:

True

Step-by-step explanation:

The communative property states that the order in addition and multiplication dosen't matter.

Plz I need this ASAP

Answers

Answer:

12

Step-by-step explanation:

1/3( 4×3)+8

1/3(12)+8

4+8

12

Answer:

b

Step-by-step explanation:

A fair die is tossed 6 times. Find the probability that
(a) 1 “one”, 2 “twos” and 3 “threes” will turn up,
(b) each side will turn up once.

Answers

Answer:

Step-by-step explanation:

hi

Answer:

B

Step-by-step explanation:

In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).



In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 27% with a margin of error of 1.9%. Describe the conclusion about p using an absolute value inequality.



The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to ≥.



Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).

Answers

Answer:

|0.251 < p < 0.289|

Step-by-step explanation:

Given that:

The proportion of people who like dark chocolate than milk chocolate in a made up poll is 27%

Margin of Error = 1.9%

The conclusion about the proportion p using absolute value inequality ;

Interval :

P ± margin of error

27% ± 1.9%

(27 - 1.9)% ; (27 + 1.9)%

25.1% ; 28.9%

0.251 ; 0.289

Hence,

|0.251 < p < 0.289|

What is the equation of the line that passes through the point (-5,-7)and has a slope of 2/5

Answers

Answer:

6.33333 is the answer <3

find the missing side lengths. leave ur answers as radicals

Answers

Answer:

m = 34 ; n = 17√3

Step-by-step explanation:

m = 17 × 2 = 34

n² = 34² - 17² = 867 = 17² × 3 ⇒ n = 17√3

How many numbers can be squared to get a value of 0?

Answers

Maybe zero? Not sure

Answer:

1

Step-by-step explanation:

0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0

2/3x = -36
Possible answers
+24
-24
+54
-54

Answers

Answer:

-54

Step-by-step explanation:

2/3x=-36

3*2/3=3(-26)

2x=-108

2x/2= -108/2

x=-54

2.5 divided by 1.5 round to nearest tenth

Answers

Answer:

1.7

Step-by-step explanation:

2.5÷1.5

5/3

1.66666

1.7

The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.

What is Division?

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2.5 divided by 1.5

So, 2.5 / 1.5

= 25 x 10 / 15 x 10

= 25/15

= 5 x 5 / 5 x 3

= 5/3

Hence, the divisions results to 5/3 or 1.6667

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ2

Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

We can write a proportion to find how much mix is required to make 52 cupcakes.

  quarts/cupcakes = 3.5/32 = x/52

Multiplying by 52, we find ...

  x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes

This is more mix than Austin made. He does not have enough left for 20 more cupcakes.

Multiply 1 4/5 * 1 ???

Answers

Answer:

9/5 or 1 4/5

Step-by-step explanation:

You’re welcome :)

Answer:

your answer will come to be 1.8

Zoey can tile 1 1/4 square yards in 1/3 hour. What is her unit rate?

Answers

We know that Zoey can tile 1.25 square yards in 20 minutes (which is 1/3 of an hour) so we wanna see how much she can tile in an hour. Multiply 1.25 by 3.

1.25•3= 3.75 or 3 3/4

Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=15
c=a+109

B. c+a=109
c=a+15

C. c+a=109
a=c+15

D. c-a=15
c=a+109

Answers

Answer:

C

Step-by-step explanation:

A high school has 28 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 242 pounds?

Answers

Answer:

25%

Step-by-step explanation:

Looking at the attached diagram, we can see that the box plot is divided into 3 sections,

Q1 = First Quartile (1/4 the players) = 25%

Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%

Q3 = Third Quartile (3/4 of the players) = 75%

From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below

The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%

= 25%

The percentage of players weighing greater than or equal to 242 pounds is 25 %.

Quartile of Data ;From the attached diagram, we can see that the box plot is divided into 3 sections.[tex]Q_{1}[/tex] = First Quartile , which represent [tex]\frac{1}{4}[/tex] part of the player. That is 25%[tex]Q_{2} =[/tex] Second Quartile ,which represent 1/2 of the players= 50%[tex]Q_{3}=[/tex]Third Quartile , which represent 3/4 of the players = 75%

From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.

It means that 75% of the players weigh 242 pounds and below

Hence, The percentage of players weighing greater than or equal to 242 pounds is,

                 [tex]100-75=25[/tex]

Learn more about the Quartile here:

https://brainly.com/question/10005803

Name the theorem or postulate that lets you immediately conclude ∆ABD ≈ ∆CBD.
A. None of these
B.AAS
C.ASA
D.SAS

Answers

Answer:

The correct answer is B. AAS

Step-by-step explanation:

I took the test

hope this helps :)

SAS postulate is used to conclude that ∆ABD ≈ ∆CBD. Option D is correct.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

In the given triangle there are ACD, DB is the perpendicular bisector.

We need to prove ∆ABD ≈ ∆CBD.

In ∆ABD and ∆CBD

AB is congruent to BC by given diagram.

∠ABD ≅ ∠CBD both are 90 degrees.

BD ≅ BD both having common side.

∆ABD ≈ ∆CBD.

By SAS postulate.

Hence, the SAS postulate is used to conclude that ∆ABD ≈ ∆CBD.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ5

Also, what does the phrase "how much for 1" mean?

Answers

Answer:

It means your asking how much one of one type of thing is

Step-by-step explanation:

if g(x) =x over 2 + 3 find g (4)

Answers

Answer: 2

Step-by-step explanation: 4/2=2

6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation

Answers

Answer:

(C / n) + 2

Step-by-step explanation:

Amount spent (C) = 42

Number of friends (n) = 6

Coupon on ticket = $2

Original price of ticket will be :

Cost per coupon ticket = (Total amount spent / number of friends)

(Total amount spent / number of friends) + coupon on ticket

= (C / n) + 2

= (42 /6) + 2

= 7 + 2

= 9

A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship between cakes made and the amount of flour used to make all of their cakes. Which table of values shows the relationship between the number of cakes the bakery makes to the number of bags of flours the bakery uses?

Answers

Answer:

c = 3b

Step-by-step explanation:

9 cakes proportional to 3 bags of flower

cake = k(bag)

c = kb

9 = k(3)

k = 3

c = 3b

you didn't send any table of values but this is the relationship between the cakes and flour, you can use it.

please mark brainliest if you like the answer

PLEASE HELP ME WITH ME MATH In a survey of 3500 people who owned a certain type of​ car, 1750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

50%

Step-by-step explanation:

3500 divided  by 1750 is 2 which is equal to 50%

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