What is the equation in point−slope form of the line passing through (1, 2) and (2, 5)? (5 points) Group of answer choices (y − 1) = −3(x − 2), (y + 2) = 3(x + 1,) (y − 2) = 3(x − 1), (y − 2) = −3(x − 1)

Answers

Answer 1

Answer using slope formula:

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

We can find the slope.

Substitute:

[tex]\frac{5-2}{2-1}[/tex]

Subtract:

[tex]\frac{3}{1}[/tex]

[tex]\frac{3}{1}= 3[/tex]

Our slope is 3.

Now we will use Point Slope formula:

[tex]y-y1=m(x-x1)[/tex]

To find our equation.

I will use the first ordered pair, (1,2).

Substitute:

[tex]y-2=3(x-1)[/tex]

Your answer is C. (y − 2) = 3(x − 1).

Hope this helped! :)


Related Questions

Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes for preheating), how many cookies did Amy bake?

Answers

Answer:

528 cookies

Step-by-step explanation:

3 hours is 180 minutes

55 minutes - the 15 for preheating is 40 minutes

180 minutes + 40 minutes = 220 (total time she could've had cookies in the oven)

220 divided by 20 is 11 (total batches of cookies)

11 times 48 is 528

Sorry if my answer is confusing lol

The total number of cookies that Amy baked is 528 cookies.

What is the Subtraction operation?

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

To solve this problem, we need to convert the total time the oven was on (3 hours and 55 minutes) into minutes.

Since there are 60 minutes in an hour, the total time the oven was on in minutes is : 3 hours x 60 minutes/hour + 55 minutes = 235 minutes.

We need to subtract the time the oven was preheating (15 minutes) from the total time the oven was on to get the time that was spent baking cookies. This gives us a total of 235 minutes - 15 minutes = 220 minutes of baking time.

Since each batch of cookies takes 20 minutes to bake, the number of batches of cookies that Amy baked is :

220 minutes / 20 minutes/batch = 11 batches.

Since each batch contains 48 cookies,

So, the total number of cookies that Amy baked is :

11 batches × 48 cookies/batch = 528 cookies.

Thus, Amy baked 528 cookies overall altogether.

Learn more about Subtraction operations here:

brainly.com/question/25834626

#SPJ12

Dogan
Dog Years
It is said that dogs age seven years for every "people year." Mason's dog. Shep, was
born on Mason's eighth birthday. When Mason was nine years old, Shep was seven
dog years old. In dog years, how old will Shep be on Mason's twelfth birthday?

Answers

Answer:

84 years old

Step-by-step explanation:

A simple 12 x 7 Since for ever 7 dog years= 1 human year

Which house and decorations is better

Answers

Answer:

The First house, also has a bigger bed! :)

Step-by-step explanation:

Answer: the first one hi Nana if u keep getting friend request ignore it im tryna make a bunch of acc but tell josh 2 talk 2 me

Step-by-step explanation:

If I buy a sweatshirt for $30, and the sales tax is 7% in my state, how much will I pay for the sweatshirt, including the sales tax?

Answers

Answer:

$32.10

Step-by-step explanation:

If you have sales tax, you would first convert the percentage to decimal, or 0.07. Then you would take this number, and add it to one before you multiply it by the price of the sweatshirt. This makes sure that you're not just calculating the sales tax, but the overall price of the shirt. So if you multiply:

30 x 1.07 = 32.1

Add the units, and you get $32.10

Hope this helps!

Answer: The answer is $32.10

Step-by-step explanation: i forgot to put my answer in the answers not comments

Margo estimated 182 divide 5 to be between 30 and 40 which basic facts did she use the photo has the basic facts

Answers

Answer:

Step-by-step explanation:

Margo estimated that 18 is close to 20 and 20/5=4

18 is also close to 15 and 15/5=3

so she figured her answer will be between 30 and 40

Answer:

[tex]15 \div 5[/tex]

Step-by-step explanation:

15 is the closest nuber to 18 making it a better assumption for her.

Neil's regular wage is $ 11 per hour. He gets $ 15.50 per hour for overtime. He was paid for 160 regular hours and 50 hours of overtime. How much was his total paycheck?

Answers

Answer:

$2535

Step-by-step explanation:

First, find the the pay he received for the regular hours worked.  To find this, you must multiply the hours worked by his wage.

$11 × 160 = $1760

Next find the the pay received for overtime.  Do the same process as above.

$15.50 × 50 = $775

Now that you have the pay for regular hours and overtime hours, add the two amounts together to find the amount for his total paycheck.

$1760 + $775 = $2535

A submarine 50.2 m below the surface of the ocean goes up 15.6 m. Then it goes down 35.7 m. What is the
submarine's new position relative to the surface of the ocean? Show your work.
Help Please?

Answers

Answer:

70.3

EXPLANATION:

ejxjcjfkfkgkvkfkdkgnvkdlekgkgngkdkfjvnfk

Nathan usually drinks 38 ounces of water per day. He read that he should drink 66 ounces of water per day. If he starts drinking 66 ounces, what is the percent increase? Round to the nearest percent.

Answers

Answer:

73.6%

Explanation: 38 is the old value and 66 is the new value. In this case we have a positive change of 73.68... percent because the new value is greater than the old value.

Find the value of x and y​

Answers

Answer:

Step-by-step explanation:

(your value for y is correct)

this is an equilateral triangle so the right triangle’s hypotenuse is 40

to find x we need to use sin (which equals opposite of the angle over hypotenuse)

so

sin(x) = 20/40

sin(x) = 1/2

sin inverse(1/2) = x

x = 30°

X= 30 :) there you go

Pls help I need this done soon and I suck at math

Answers

Answer: 4.5

Hope this helps :)

please help meeeeeeeeeee

Answers

Answer:

x=-5

Step-by-step explanation:

If f(x)=0, then x=-5

Drawing the line y=0 shows this visually

Who is ~Satori Komeiji~ ?

Answers

Answer:

is a character from Touhou Project debuting in the video game, Subterranean Animism. She is the Mistress of the Palace of the Earth Spirits after the underground city was separated from Hell.

Step-by-step explanation:

Answer:

She is  the Mistress of the Palace of the Earth Spirits. And in turn is a n anime character

Step-by-step explanation:

find the slope of the line parallel to the coordinates -5, 1 and -1, 2

Answers

Answer:

m = 1/2 or 0.25

Step-by-step explanation:

Brainliest Please!!

pls help ill give brainly

A soup can is 2 in. tall and has a diameter of 8 in.

What is the amount of metal used to make the can?


16π in²

24π in²

48π in²

160π in²

Answers

Answer:

the answer is 48π  in²

explanation:

i took the quiz

Can yall actually help
I need jus 3 and 6

Answers

Answer:

3.) (x,y)⇒(x+9,y-5)

6.) T'= (-4,5) U'= (1,-7) V'= (2,4) W'= ( 7,2) X'=( 5,-10) Y'=( 0,2) Z'= ( 8,-3)

Step-by-step explanation:

Which theorem(s) can you use to prove that the two triangles are congruent?

Answers

Answer:

To prove the congruence between two triangles there are several postulates, that can be applied depending on the congruent parts of the triangles.

The postulates are:

SAS (Side-Angle-Side): This postulate states that if two triangles have two corresponding sides congruent and one corresponding angle congruent, we can conclude that those triangles are completely congruent.

ASA (Angle-Side-Angle): This postulate states that if two triangles have two corresponding angles congruent and one corresponding side congruent, then those triangles are congruent.

SSS (Side-Side-Side): This postulate states that if two triangles have all three corresponding sides congruent, then triangles are congruent.

AAS (Angle-Angle-Side): If two pairs of corresponding angles are congruent and one pair of corresponding sides is congruent, then both triangle are congruent each other.

HL (Hypothenuse-Leg): this postulate is applied when we have right angles. It states that two right triangles are congruent if they have one pair of corresponding leg congruent, and the hypothenuses are also congruent. We could conclude that those right triangles are congruent.

From these postulate, we can demonstrate the congruence between two triangles. Then, from that congruence, we deduct the congruence between each corresponding parts of those triangles. For example, if we demonstrate the congruence by AAS, we deduct that the third angle is also congruent, and the other two sides are also congruent.

look at the picture please

Answers

Answer:

c

Step-by-step explanation:

the top one goes inside the radical and the bottom one is the root

could someone help please? this is hard

Answers

Step-by-step explanation:

1/8+1/4+1/8=1/8+2/8+1/8=4/8=1/2

Answer:

1,2,1, 4, 1

These numbers correspond with the boxes in order from left to right.

Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.

Answers

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

We can define the absolute value of any number:

IxI as:

"The distance between the point x and the origin in the coordinate axis"

If we are in one dimension, x is just a value, and the coordinate axis will be a number line.

Then we could rewrite this as:

"is the distance between the value x and the 0 in the number line"

So:

IxI = x if x > 0

IxI = -x if x < 0.

Then:

I -5 I

Is the distance between the number -5, and the 0 in the number line, and this is:

I - 5 I = 5.

The correct option is:

"It is the distance that -5 is form 0 on the number line"

Answer:

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

PLEASE ANSWER THE QUESTION ASAP!!!!

Answers

Answer:

B

Step-by-step explanation:

How many 1/8 are in 1 1/4?

*look at the picture*

Answers

Answer:

10

Step-by-step explanation:

Because 1 1/4 divided by 1/8 is 10

I think it would be 1/4

x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination

Answers

Answer:

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Step-by-step explanation:

use substitution method

x+y = 42 ------ (1)

xy = 108 ------ (2)

from (1) ,

x+y = 42

y = 42-x ------ (3)

substitute (3) into (2)

xy = 108

x( 42-x ) = 108

42x - x² = 108

-x² + 42x - 108 = 0

x² - 42x + 108 = 0

use the following formula to solve the value of x:

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

a = 1

b = -42

c = 108

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]

[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 + 3 \sqrt{37} [/tex]

[tex]x = 39.25[/tex]

[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]

[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 - 3 \sqrt{37} [/tex]

[tex]x = 2.75[/tex]

the 2 values of x are x = 39.25 and x = 2.75

substitute x = 39.25 into (3)

y = 42-x

y = 42-39.25

y = 2.75

substitute x = 2.75 into (3)

y = 42-x

y = 42-2.75

y = 39.25

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Solve for x
9(x-1)=81
x=

Answers

Answer:

x=10

Step-by-step explanation:

[tex]9x-9=81\\9x=90\\x=10[/tex]

2(6x+5)=58
(solve for x)

Answers

x=4

explanation:
2(6x+5)=58
you distribute the 2 to the 6x and the 5 making the problem:
12x+10=58
you would then subtract 10 from both sides of the equation then making the problem:
12x=48
since we are trying to get x alone we would then divide each side of the equation by 12 leaving you with
x=4

Hi does anyone know the answer to these two math questions? ( order of operations )

Answers

Answer: here's the answers to the problems

6) 17

8) 2.5

Answer:

6.  17

8.  2.5

Step-by-step Explanation:

4 x 3 + 6+9/3          12/3 + 2+7/5-3 - 6

12 + 15/3                  4 + 9/2 - 6

12 + 5                       4 + 4.5 - 6

= 17                          8.5 - 6

                                = 2.5

Jess earns 10 per hour babysitting. Her friend Sam earns $12.50 per hour. If Jess started with $5, how many hours will both friends need to work before they have the same amount of money.

Answers

Answer:

they have to work 2 hours

Step-by-step explanation:

Jess has a $5+ x*$10

Sam has  x*$12.5

where x-is number of hour worked

after x=1 hour

Jess has a $5+ 1*$10=$15

Sam has  1*$12.5= $12.5

afterx=2 hours

Jess has a $5+ 2*$10=$25

Sam has  2*$12.5=$25

Help, this is a algebra question. Answer ASAP if you know the answer. I will give brainliest to whoever responds correct.

Answers

Answer:

B. Substitute 0 for y and solve for x.

Step-by-step explanation:

Finding the zeroes means solving for x when y = 0.

A student found out that 8% ofthe students in his school are left-handed.If there are 114 lefties, how many students are in his school?

Answers

Answer: 1,425 students

Step-by-step explanation: This is easy to solve using proportions/

114/8 = ?/100

First, you cross multiply (or whatever this is called sry) 100x114=11400

Then divide 11400÷8=1,425

Determine if lines JK and LM are parallel, perpendicular or neither. J(-10, -7) K(-4, 1) L(-3, 2) M(-6, -2)

Answers

Answer:

i think it is neither

Step-by-step explanation:

PLEASE HELP ME THIS IS DUE TODAYYY

Answers

Answer:

Check the answers in the tables below

Step-by-step explanation:

First I will explain the steps done in each column

Column 1: Multiply 2 numbers

Column 2: Split the terms inside the bracket in such a way that adding or subtracting those numbers we get the same number.

Column 3: Using distributive property a(b+c) = (ab)+(ac)

Column 4: Solving the expression by adding or subtracting  the terms

1)

Given: Data in Column 2 100(0.04+0.06)

Column 1     Column 2               Column 3                  Column 4         Value

100(0.1)       100(0.04+0.06)     100.0.04+100.0.06          4+6                   10

2)

Given: Data in column 3 [tex]8.\frac{1}{2}+ 8.\frac{1}{4}[/tex]

Column 1     Column 2               Column 3             Column 4         Value

[tex]8(\frac{3}{4})[/tex]                 [tex]8(\frac{1}{2}+\frac{1}{4})[/tex]                   [tex]8.\frac{1}{2}+ 8.\frac{1}{4}[/tex]                    4+2               8                    

3)

Given: Data in Column 4 9+12

Column 1     Column 2               Column 3                  Column 4         Value

3(7)                    3(3+4)                    3(3)+3(4)                   9+12                  21

4)

Given: Data in Column 4 24-16

Column 1     Column 2               Column 3                  Column 4         Value

4(2)                  4(6-4)                      4.6-4.4                      24-16                8

Other Questions
The Whiskey Rebellion involvedwhat group?A. slavesB. farmersC. bankers I WILL GIVE BRAINLYAngela has 5 fewer quarters than twice the number of her dimes. If d representsthe number of dimes Angela has, which expression represents the total number ofAngelas quarters and dimes?A. 2d 5B. 5 2dC. d + (2 5d)D. d + (2d 5)PLSSSSS SHOW YOUR WORK PLSSS Help me with this question! Will mark brainliest One common problem with backgrounds is "antlers" that look they are coming out of someone's head. True False Please help me !!!!! Read the following sentences: People are using the Amazon to grow plants for humans, like bananas and sugar cane plants. Others are digging holes in the earth to look for oil or gas reserves. And still others are cutting down the trees for lumber.Based on this information, what is the main reason why humans are changing the Amazon rainforest? Guess :D First right is brainliest This night is cold in the kingdomI can feel you fade awayFrom the kitchen to the bathroom sink andYour steps keep me awakeDon't cut me down, throw me out, leave me here to wasteI once was a man with dignity and graceNow I'm slippin' through the cracks of your cold embraceSo please, pleaseCould you find a way to let me down slowly?A little sympathy, I hope you can show meIf you wanna go then I'll be so lonelyIf you're leavin', baby, let me down slowlyLet me down, down, let me down, down, let me downLet me down, down, let me down, down, let me downIf you wanna go then I'll be so lonelyIf you're leavin', baby, let me down slowlyCold skin, drag my feet on the tileAs I'm walking down the corridorAnd I know we haven't talked in a whileSo I'm looking for an open doorDon't cut me down, throw me out, leave me here to wasteI once was a man with dignity and graceNow I'm slippin' through the cracks of your cold embraceSo please, pleaseCould you find a way to let me down slowly?A little sympathy, I hope you can show meIf you wanna go then I'll be so lonelyIf you're leavin', baby, let me down slowlyLet me down, down, let me down, down, let me downLet me down, down, let me down, down, let me downIf you wanna go then I'll be so lonelyIf you're leavin', baby, let me down slowlyAnd I can't stop myself from fallin' (down) downAnd I can't stop myself from fallin' (down) downAnd I can't stop myself from fallin' (down) downAnd I can't stop myself from fallin' (down) downCould you find a way to let me down slowly?A little sympathy, I hope you can show meIf you wanna go then I'll be so lonelyIf you're leavin', baby, let me down slowlyLet me down, down, let me down, down, let me downLet me down, down, let me down, down, let me downIf you wanna go then I'll be so lonelyIf you're leavin', baby, let me down slowlyIf you wanna go then I'll be so lonelyIf you're leavin', baby, let me down slowly A wedding costs $2,460 for 20 guests. How much did the wedding cost per person? A school allots 1500 to spend on a trip to the theatre.Theatre tickets have a regular cost of 25 each and are on offer for 1/5 off.A train ticket for the day will cost 15 each.If 2 teachers and the maximum number of students attend, how many students go on the trip? is using local product for the time being is a goodoption? Why? why not? Popular sovereignty refers to the __________. x2 11x + 5 = -2xSolve equation to the nearest tenth What is the correct order of the scientific method? PLEASE HELP URGENT WILL MARK BRAINLIEST When Kennedy mentions "those who came before us" he is referring to other great leaders throughout American history other great leaders throughout American history our forefathers who founded the United States our forefathers who founded the United States other presidents other presidents scientists like Newton and Galileo PLEASE HELP!! Select all that apply, brainiest for right answer! right answers only please write at equation for the line that is perpendicular to the given line and that contains the given pointy=-1/3x + 5 ; (2,5) the one of the following is NOT a measure of central tendency?____a) mean. B) median. c) range. d) mode What is one major drawback of globalization? Read the sentence.What type of descriptive language is used in thesentence?Compared to the rest of us, it took her two seconds tofinish the test.O strong verbsO simileO metaphorO hyperbole